Notice (8): Undefined variable: tuMain [APP/Controller/Component/CommonComponent.php, line 4554]
Code Context
                                        }
                                    }
                                    if($tuMain > $mauMain && $tuMain%$mauMain != 0)
$clone = array(
	'id' => '4124',
	'chart' => '',
	'question_id' => '34867',
	'clone_type' => '1',
	'phpfile' => null,
	'clone_symbol' => null,
	'clone_content' => 'In the number line, what is the value of $(Y)?<br /> Express your answer as a mixed number in its simplest form.<br /><br />$(Z) = $(f2)',
	'clone_solution_step' => 'Number of intervals = $(n6)<br /><br />6 intervals&nbsp;&rarr;&nbsp;$(f2) - $(n0) = $(f1)<br />1 interval &rarr; $(f1) &divide; $(n6) = $(f1) x $(in6) = $(f3)<br /><br />$(Y)<br />= $(n0)&nbsp;+ $(nn2) x $(f3)<br />= $(n0) + $(d2)<br />= $(n0) + $(dd2)<br />= $(n0)$(dd2)<br /><br />Answer(s): $(n0)$(dd2)',
	'clone_answer' => '0$(dd2)														     														     														     														     														     														     														     														     														     														     														     														     														     														     														     														     														     														     														     														     														     														     														     ',
	'array' => object(stdClass) {
		1512367461051 => object(stdClass) {}
		1512367828542 => object(stdClass) {}
		1512367976807 => object(stdClass) {}
		1512368773969 => object(stdClass) {}
		1519786643529 => object(stdClass) {}
	},
	'clone_image' => null,
	'clone_solution_step_image' => null,
	'clone_answer_image' => null,
	'status' => true,
	'created' => '2017-12-04 14:35:48',
	'modified' => '2019-07-08 18:47:34',
	'original_question' => '<span style="color: #0000ff;">5 interval</span> In the number line, what is the value of Y?<br /> Express your answer as a mixed number in its simplest form.',
	'formula' => array(
		(int) 0 => '$(n0) + 1 = $(n1)',
		(int) 1 => '$(n1) + 1 = $(n2)',
		(int) 2 => 'array_get_next_loop($(Y))=$(Z) ',
		(int) 3 => 'do_fraction(+:$(n0),$(f1))=$(f2) ',
		(int) 4 => 'print_fraction(1,$(n6))=$(in6) ',
		(int) 5 => 'do_fraction(*:$(f1),$(in6))=$(f3) ',
		(int) 6 => 'do_fraction(*:$(f3),$(nn2))=$(d2) ',
		(int) 7 => 'get_denominator($(d2))=$(dm) ',
		(int) 8 => 'print_fraction($(dm),$(dm))=$(fn) ',
		(int) 9 => 'share_same_denominator(1:$(f2),$(fn))=$(d1) ',
		(int) 10 => 'get_numerator($(fn))=$(nm1) ',
		(int) 11 => 'get_numerator($(d2))=$(nm2) ',
		(int) 12 => '$(nm1) + $(nm2) = $(t)',
		(int) 13 => 'print_fraction($(t),$(dm))=$(fa) ',
		(int) 14 => 'simplify_fraction($(fa))=$(dd4) ',
		(int) 15 => 'change_mixed_number_to_improper($(dd4))=$(dn) ',
		(int) 16 => 'simplify_fraction($(d2))=$(dd2) '
	),
	'time_value' => array(
		(int) 0 => '1512367674329',
		(int) 1 => '1512367682985',
		(int) 2 => '1512367709715',
		(int) 3 => '1512367804440',
		(int) 4 => '1512367916951',
		(int) 5 => '1512368215070',
		(int) 6 => '1512368215965',
		(int) 7 => '1519884254317',
		(int) 8 => '1519884267836',
		(int) 9 => '1512368294610',
		(int) 10 => '1512368314402',
		(int) 11 => '1519884586501',
		(int) 12 => '1519884596768',
		(int) 13 => '1519884607788',
		(int) 14 => '1519882719308',
		(int) 15 => '1519884783509',
		(int) 16 => '1562582212394'
	),
	'criterion' => array(
		(int) 0 => '',
		(int) 1 => '',
		(int) 2 => '',
		(int) 3 => '',
		(int) 4 => '',
		(int) 5 => '',
		(int) 6 => '',
		(int) 7 => '',
		(int) 8 => '',
		(int) 9 => '',
		(int) 10 => '',
		(int) 11 => '',
		(int) 12 => '',
		(int) 13 => '',
		(int) 14 => '',
		(int) 15 => '',
		(int) 16 => ''
	),
	'type_criterion' => array(
		(int) 0 => '',
		(int) 1 => '',
		(int) 2 => '',
		(int) 3 => '',
		(int) 4 => '',
		(int) 5 => '',
		(int) 6 => '',
		(int) 7 => '',
		(int) 8 => '',
		(int) 9 => '',
		(int) 10 => '',
		(int) 11 => '',
		(int) 12 => '',
		(int) 13 => '',
		(int) 14 => '',
		(int) 15 => '',
		(int) 16 => ''
	),
	'image_gridline' => 'http://ischool.sg/beta-z/img/img_canvas/P4.FR.JM.17101680-Q.png',
	'code_gridline' => 'http://ischool.sg/beta-z/img/img_canvas/P4.FR.JM.17101680-GQ3.png',
	'level' => '',
	'topic_id' => '',
	'source' => '',
	'question_code' => 'P4.FR.JM.17101680-A4',
	'tag' => '',
	'mark' => '',
	'text_working' => '["","","","","","","","","","","","","","","","",""]',
	'original_solution' => 'Number of intervals = 6<br /> 1 interval &rarr; <span class="frac"><sup>1</sup><sub>2</sub></span> &divide; 6 = <span class="frac"><sup>1</sup><sub>12</sub></span><br /> <br /> Y <br /> = 1 <span class="frac"><sup>1</sup><sub>2</sub></span> + 4 x <span class="frac"><sup>1</sup><sub>12</sub></span><br /> = 1 <span class="frac"><sup>6</sup><sub>12</sub></span> + <span class="frac"><sup>4</sup><sub>12</sub></span><br /> = 1 <span class="frac"><sup>10</sup><sub>12</sub></span><br /> = 1 <span class="frac"><sup>5</sup><sub>6</sub></span><br /> <br /> Answer(s): 1 <span class="frac"><sup>5</sup><sub>6</sub></span>',
	'delete_by' => null,
	'delete_date' => null
)
$Array1 = object(Array1) {
	table => 'array1s'
	validate => array()
	useDbConfig => 'default'
	useTable => 'array1s'
	id => '97'
	data => array()
	schemaName => 'ischoolb_orgi'
	primaryKey => 'id'
	validationErrors => array()
	validationDomain => null
	tablePrefix => ''
	plugin => null
	name => 'Array1'
	alias => 'Array1'
	tableToModel => array(
		'array1s' => 'Array1'
	)
	cacheQueries => false
	belongsTo => array()
	hasOne => array()
	hasMany => array()
	hasAndBelongsToMany => array()
	actsAs => null
	Behaviors => object(BehaviorCollection) {}
	whitelist => array()
	cacheSources => true
	findQueryType => null
	recursive => (int) 1
	order => null
	virtualFields => array()
	__backAssociation => array()
	__backInnerAssociation => array()
	__backOriginalAssociation => array()
	__backContainableAssociation => array()
	__safeUpdateMode => false
	useConsistentAfterFind => true
	findMethods => array(
		'all' => true,
		'first' => true,
		'count' => true,
		'neighbors' => true,
		'list' => true,
		'threaded' => true
	)
	[protected] _schema => array(
		'id' => array(
			[maximum depth reached]
		),
		'name' => array(
			[maximum depth reached]
		),
		'content' => array(
			[maximum depth reached]
		),
		'note' => array(
			[maximum depth reached]
		),
		'created' => array(
			[maximum depth reached]
		),
		'modified' => array(
			[maximum depth reached]
		)
	)
	[protected] _associationKeys => array(
		'belongsTo' => array(
			[maximum depth reached]
		),
		'hasOne' => array(
			[maximum depth reached]
		),
		'hasMany' => array(
			[maximum depth reached]
		),
		'hasAndBelongsToMany' => array(
			[maximum depth reached]
		)
	)
	[protected] _associations => array(
		(int) 0 => 'belongsTo',
		(int) 1 => 'hasOne',
		(int) 2 => 'hasMany',
		(int) 3 => 'hasAndBelongsToMany'
	)
	[protected] _insertID => null
	[protected] _sourceConfigured => true
	[protected] _eventManager => object(CakeEventManager) {}
	[protected] _validator => null
}
$Prime = object(AppModel) {
	useDbConfig => 'default'
	useTable => 'primes'
	id => false
	data => array()
	schemaName => null
	table => 'primes'
	primaryKey => 'id'
	validate => array()
	validationErrors => array()
	validationDomain => null
	plugin => null
	name => 'Prime'
	alias => 'Prime'
	tableToModel => array(
		'primes' => 'Prime'
	)
	cacheQueries => false
	belongsTo => array()
	hasOne => array()
	hasMany => array()
	hasAndBelongsToMany => array()
	actsAs => null
	Behaviors => object(BehaviorCollection) {}
	whitelist => array()
	cacheSources => true
	findQueryType => null
	recursive => (int) 1
	order => null
	virtualFields => array()
	__backAssociation => array()
	__backInnerAssociation => array()
	__backOriginalAssociation => array()
	__backContainableAssociation => array()
	__safeUpdateMode => false
	useConsistentAfterFind => true
	findMethods => array(
		'all' => true,
		'first' => true,
		'count' => true,
		'neighbors' => true,
		'list' => true,
		'threaded' => true
	)
	[protected] _schema => null
	[protected] _associationKeys => array(
		'belongsTo' => array(
			[maximum depth reached]
		),
		'hasOne' => array(
			[maximum depth reached]
		),
		'hasMany' => array(
			[maximum depth reached]
		),
		'hasAndBelongsToMany' => array(
			[maximum depth reached]
		)
	)
	[protected] _associations => array(
		(int) 0 => 'belongsTo',
		(int) 1 => 'hasOne',
		(int) 2 => 'hasMany',
		(int) 3 => 'hasAndBelongsToMany'
	)
	[protected] _insertID => null
	[protected] _sourceConfigured => false
	[protected] _eventManager => null
	[protected] _validator => null
}
$answer_fix = '$(n0)$(dd2)														     														     														     														     														     														     														     														     														     														     														     														     														     														     														     														     														     														     														     														     														     														     														     '
$count_crition = (int) 1
$count_array_break = (int) 0
$count_variable_nnt = (int) 0
$message_nnt = ''
$field = 'time_value'
$array_get = array(
	(int) 0 => 'n0',
	(int) 3 => 'f1',
	(int) 4 => 'n6',
	(int) 6 => 'nn2',
	(int) 2 => 'Y',
	(int) 5 => 'f1',
	(int) 1 => '(n1)'
)
$tempt = array(
	(int) 0 => '1/2'
)
$list_name_array = array(
	(int) 0 => 'E'
)
$list_array_item = array(
	'Y' => array(
		'listArray' => array(
			(int) 0 => 'A',
			(int) 1 => 'B',
			(int) 2 => 'C',
			(int) 3 => 'D',
			(int) 4 => 'E',
			(int) 5 => 'F',
			(int) 6 => 'G',
			(int) 7 => 'H',
			(int) 8 => 'J',
			(int) 9 => 'K',
			(int) 10 => 'L',
			(int) 11 => 'M',
			(int) 12 => 'N',
			(int) 13 => 'P',
			(int) 14 => 'Q',
			(int) 15 => 'R',
			(int) 16 => 'S',
			(int) 17 => 'T',
			(int) 18 => 'U',
			(int) 19 => 'V',
			(int) 20 => 'W',
			(int) 21 => 'X',
			(int) 22 => 'Y',
			(int) 23 => 'Z'
		),
		'keyArray' => (int) 4,
		'manyArray' => '0',
		'capitalize' => '1'
	),
	'(Z)' => array(
		'listArray' => array(
			(int) 0 => 'A',
			(int) 1 => 'B',
			(int) 2 => 'C',
			(int) 3 => 'D',
			(int) 4 => 'E',
			(int) 5 => 'F',
			(int) 6 => 'G',
			(int) 7 => 'H',
			(int) 8 => 'J',
			(int) 9 => 'K',
			(int) 10 => 'L',
			(int) 11 => 'M',
			(int) 12 => 'N',
			(int) 13 => 'P',
			(int) 14 => 'Q',
			(int) 15 => 'R',
			(int) 16 => 'S',
			(int) 17 => 'T',
			(int) 18 => 'U',
			(int) 19 => 'V',
			(int) 20 => 'W',
			(int) 21 => 'X',
			(int) 22 => 'Y',
			(int) 23 => 'Z'
		),
		'keyArray' => (int) 5,
		'manyArray' => '0',
		'capitalize' => '1'
	)
)
$list_italic = array()
$array_variable = object(stdClass) {
	1512367461051 => object(stdClass) {}
	1512367828542 => object(stdClass) {}
	1512367976807 => object(stdClass) {}
	1512368773969 => object(stdClass) {}
	1519786643529 => object(stdClass) {}
}
$question_content = 'In the number line, what is the value of $(Y)?<br /> Express your answer as a mixed number in its simplest form.<br /><br />$(Z) = $(f2)'
$solution_step = 'Number of intervals = $(n6)<br /><br />6 intervals&nbsp;&rarr;&nbsp;$(f2) - $(n0) = $(f1)<br />1 interval &rarr; $(f1) &divide; $(n6) = $(f1) x $(in6) = $(f3)<br /><br />$(Y)<br />= $(n0)&nbsp;+ $(nn2) x $(f3)<br />= $(n0) + $(d2)<br />= $(n0) + $(dd2)<br />= $(n0)$(dd2)<br /><br />Answer(s): $(n0)$(dd2)'
$clone_answer = '$(n0)$(dd2)														     														     														     														     														     														     														     														     														     														     														     														     														     														     														     														     														     														     														     														     														     														     														     '
$formula = array(
	(int) 0 => '0+1=1',
	(int) 1 => '1+1=2',
	(int) 2 => 'array_get_next_loop(E)=F',
	(int) 3 => 'do_fraction(+:0,1/2)=$(f2)',
	(int) 4 => 'print_fraction(1,6)=$(in6)',
	(int) 5 => 'do_fraction(*:1/2,$(in6))=$(f3)',
	(int) 6 => 'do_fraction(*:$(f3),2)=$(d2)',
	(int) 7 => 'get_denominator($(d2))=$(dm)',
	(int) 8 => 'print_fraction($(dm),$(dm))=$(fn)',
	(int) 9 => 'share_same_denominator(1:$(f2),$(fn))=$(d1)',
	(int) 10 => 'get_numerator($(fn))=$(nm1)',
	(int) 11 => 'get_numerator($(d2))=$(nm2)',
	(int) 12 => '$(nm1)+$(nm2)=$(t)',
	(int) 13 => 'print_fraction($(t),$(dm))=$(fa)',
	(int) 14 => 'simplify_fraction($(fa))=$(dd4)',
	(int) 15 => 'change_mixed_number_to_improper($(dd4))=$(dn)',
	(int) 16 => 'simplify_fraction($(d2))=$(dd2)'
)
$formula_1 = array(
	(int) 0 => '$(n0) + 1 = $(n1)',
	(int) 1 => '$(n1) + 1 = $(n2)',
	(int) 2 => 'array_get_next_loop($(Y))=$(Z) ',
	(int) 3 => 'do_fraction(+:$(n0),$(f1))=$(f2) ',
	(int) 4 => 'print_fraction(1,$(n6))=$(in6) ',
	(int) 5 => 'do_fraction(*:$(f1),$(in6))=$(f3) ',
	(int) 6 => 'do_fraction(*:$(f3),$(nn2))=$(d2) ',
	(int) 7 => 'get_denominator($(d2))=$(dm) ',
	(int) 8 => 'print_fraction($(dm),$(dm))=$(fn) ',
	(int) 9 => 'share_same_denominator(1:$(f2),$(fn))=$(d1) ',
	(int) 10 => 'get_numerator($(fn))=$(nm1) ',
	(int) 11 => 'get_numerator($(d2))=$(nm2) ',
	(int) 12 => '$(nm1) + $(nm2) = $(t)',
	(int) 13 => 'print_fraction($(t),$(dm))=$(fa) ',
	(int) 14 => 'simplify_fraction($(fa))=$(dd4) ',
	(int) 15 => 'change_mixed_number_to_improper($(dd4))=$(dn) ',
	(int) 16 => 'simplify_fraction($(d2))=$(dd2) '
)
$criterion = array(
	(int) 0 => '',
	(int) 1 => '',
	(int) 2 => '',
	(int) 3 => '',
	(int) 4 => '',
	(int) 5 => '',
	(int) 6 => '',
	(int) 7 => '',
	(int) 8 => '',
	(int) 9 => '',
	(int) 10 => '',
	(int) 11 => '',
	(int) 12 => '',
	(int) 13 => '',
	(int) 14 => '',
	(int) 15 => '',
	(int) 16 => ''
)
$type_criterion = array(
	(int) 0 => '',
	(int) 1 => '',
	(int) 2 => '',
	(int) 3 => '',
	(int) 4 => '',
	(int) 5 => '',
	(int) 6 => '',
	(int) 7 => '',
	(int) 8 => '',
	(int) 9 => '',
	(int) 10 => '',
	(int) 11 => '',
	(int) 12 => '',
	(int) 13 => '',
	(int) 14 => '',
	(int) 15 => '',
	(int) 16 => ''
)
$time_value = array(
	(int) 0 => '1512367674329',
	(int) 1 => '1512367682985',
	(int) 2 => '1512367709715',
	(int) 3 => '1512367804440',
	(int) 4 => '1512367916951',
	(int) 5 => '1512368215070',
	(int) 6 => '1512368215965',
	(int) 7 => '1519884254317',
	(int) 8 => '1519884267836',
	(int) 9 => '1512368294610',
	(int) 10 => '1512368314402',
	(int) 11 => '1519884586501',
	(int) 12 => '1519884596768',
	(int) 13 => '1519884607788',
	(int) 14 => '1519882719308',
	(int) 15 => '1519884783509',
	(int) 16 => '1562582212394'
)
$k = '1519786643529'
$v = object(stdClass) {
	cate => 'fraction'
	name => 'f1'
	attr => object(stdClass) {}
	checkboxFraction => '1'
	range => object(stdClass) {}
}
$mixednumber_session = array(
	(int) 0 => 'f1'
)
$array_system = array(
	(int) 0 => 'A',
	(int) 1 => 'B',
	(int) 2 => 'C',
	(int) 3 => 'D',
	(int) 4 => 'E',
	(int) 5 => 'F',
	(int) 6 => 'G',
	(int) 7 => 'H',
	(int) 8 => 'J',
	(int) 9 => 'K',
	(int) 10 => 'L',
	(int) 11 => 'M',
	(int) 12 => 'N',
	(int) 13 => 'P',
	(int) 14 => 'Q',
	(int) 15 => 'R',
	(int) 16 => 'S',
	(int) 17 => 'T',
	(int) 18 => 'U',
	(int) 19 => 'V',
	(int) 20 => 'W',
	(int) 21 => 'X',
	(int) 22 => 'Y',
	(int) 23 => 'Z'
)
$dem_array_trung = (int) 1
$value_rand_check = (int) 4
$value_check = 'E'
$tempt_k = (int) 0
$tempt_v = '1/2'
$check_who_nnt = (int) 0
$from = '2'
$to = '2'
$result_rand_frac = '1/2'
$findme = '/'
$search_frac = (int) 1
$frac_show = array(
	(int) 0 => '1',
	(int) 1 => '2'
)
$reduce_to_lowest = array(
	(int) 0 => (int) 1,
	(int) 1 => (int) 2
)
$arr_variable = array(
	'n0' => (int) 0,
	'n6' => (int) 6,
	'nn2' => (int) 2,
	'Y' => 'E',
	'f1' => '1/2',
	'(n1)' => (int) 1,
	'(n2)' => (int) 2,
	'(Z)' => 'F'
)
$variable_k = '(Z)'
$variable_v = 'F'
$formula_k = (int) 3
$formula_v = 'do_fraction(+:0,1/2)=$(f2)'
$criterion_k = (int) 16
$criterion_v = ''
$type_criterion_k = (int) 16
$type_criterion_v = ''
$variable_show = array(
	'n0' => (int) 0,
	'n6' => (int) 6,
	'nn2' => (int) 2,
	'Y' => 'E',
	'f1' => '1/2'
)
$start = 'do_fraction('
$end = ')'
$array_mixed_nnt = array(
	(int) 3 => 'yes',
	(int) 5 => 'yes'
)
$check_changes = 'simplify_fraction($(d2))=$(dd2)'
$criterion_continue = '2)=$(f2)'
$criterion_back = '(f2)'
$get_between = '+:0,1/2'
$bieuthuc = array(
	(int) 0 => 'do_fraction(+:0,1/2)',
	(int) 1 => '(f2)'
)
$substr_pos = 'change_decimal_to_fraction'
$get_numerator = false
$get_whole_number_nnt = false
$pos = false
$giatri = ''
$substr_simplify_frac = 'simplify_fraction'
$simplify_frac = false
$substr_simplify_ratio = 'simplify_ratio'
$simplify_ratio = false
$substr_get_element_of_ratio = 'get_element'
$get_element_of_ratio = false
$substr_numberto2decimal = 'change_number_to_2dp'
$change_to_2dp = false
$substr_digit_5_0 = 'change_to_2dp_with_5_or_0'
$change_to_2dp_5_or_0 = false
$substr_mixed_num = 'change_improper_to_mixed_number'
$mixed_num = false
$substr_mixed_to_improper = 'change_mixed_number_to_improper'
$mixed_to_improper = false
$substr_invert_fraction = 'invert_fraction'
$invert_fraction = false
$substr_get_same_numerator = 'share_same_numerator'
$get_same_numerator = false
$substr_get_same_denominator = 'share_same_denominator'
$get_same_denominator = false
$substr_reduce_into_ratio = 'simplify_any_into_ratio'
$reduce_into_ratio = false
$substr_multiply_subscript = 'multiply_ratio_subscript'
$multiply_subscript = false
$substr_assign = 'assign'
$assign = false
$substr_is_12_hour_time_am_pm = 'get_12_hour_time_am_pm'
$is_12_hour_time_am_pm = false
$substr_is_2400_hour_time = 'get_2400_hour_time'
$is_2400_hour_time = false
$substr_add_or_minus_time = 'add_or_minus_min_or_s'
$add_or_minus_time = false
$substr_change_percentage_to_frac = 'change_percentage_to_frac'
$change_percentage_to_frac = false
$substr_round_2_decimal = 'round_2_decimal_place'
$round_2_decimal_place = false
$substr_round_1_decimal = 'round_1_decimal_place'
$round_1_decimal_place = false
$substr_get_quotient = 'get_quotient'
$get_quotient = false
$substr_get_remainder = 'get_remainder'
$get_remainder = false
$substr_change_min_to_hour_min = 'change_min_to_h_min'
$change_min_to_hour_min = false
$substr_change_h_min_to_min = 'change_h_min_to_min'
$change_h_min_to_min = false
$substr_carry_1 = 'carry_1_from_mixed_number'
$get_carry_1 = false
$change_d_or_p_to_fraction = 'change_to_unsimplied_fraction'
$get_change_d_or_p_to_fraction = false
$round_off_to_nearest_ten = 'round_off_to_nearest_ten'
$get_round_off_to_nearest_ten = false
$round_off_to_nearest_hundred = 'round_off_to_nearest_hundred'
$get_round_off_to_nearest_hundred = false
$round_off_to_nearest_thousand = 'round_off_to_nearest_thousand'
$get_round_off_to_nearest_thousand = false
$change_12_to_24 = 'change_12h_to_24h'
$get_12_to_24 = false
$change_24_to_12 = 'change_24h_to_12h'
$get_24_to_12 = false
$get_factors = 'get_factors'
$get_factors_nnt = false
$get_common_factors = 'get_common_factors'
$get_common_factors_nnt = false
$get_multiples = 'get_multiples'
$get_multiples_23916 = false
$get_add_or_minus_multiples = 'add_or_minus_multiples'
$add_or_minus_multiples_23916 = false
$get_common_numbers = 'get_common_numbers'
$get_common_numbers_240916 = false
$substr_array_singular = 'array_singular'
$array_singular_101016 = false
$substr_array_plural = 'array_plural'
$array_plural_101016 = false
$substr_print_fraction = 'print_fraction'
$print_fraction_101016 = false
$substr_array_capitalize = 'array_capitalize'
$array_capitalize_101016 = false
$substr_array_get_words = 'array_get_words'
$array_get_words_31316 = false
$substr_array_get_1st_letter = 'array_get_1st_letter'
$array_array_get_1st_letter = false
$substr_array_get_next_loop = 'array_get_next_loop'
$array_get_next_loop = false
$substr_array_get_next_break = 'array_get_next_break'
$array_get_next_break = false
$substr_multiply_fraction = 'do_fraction'
$array_multiply_fraction = (int) 0
$substr_change_to_italic = 'change_to_italic'
$array_change_to_italic = false
$key_a = 'Y'
$keyArray = (int) 5
$count_check = array(
	(int) 0 => '+',
	(int) 1 => '0,1/2'
)
$arr_caculoid = array(
	(int) 0 => '+',
	(int) 1 => '-',
	(int) 2 => '*',
	(int) 3 => '/'
)
$two_fraction = array(
	(int) 0 => '0',
	(int) 1 => '1/2'
)
$findme2 = '.'
$search_tu = false
$search_tu2 = false
$search_mau = (int) 1
$search_mau2 = false
$tuOne = '0'
$mauOne = (int) 1
$split_mau = array(
	(int) 0 => '1',
	(int) 1 => '2'
)
$tuTwo = '1'
$mauTwo = '2'
$k1 = (int) 16
$v1 = 'simplify_fraction($(d2))=$(dd2)'
CommonComponent::generateAdvClone() - APP/Controller/Component/CommonComponent.php, line 4554
ClonesController::index2() - APP/Controller/ClonesController.php, line 2226
ReflectionMethod::invokeArgs() - [internal], line ??
Controller::invokeAction() - CORE/Cake/Controller/Controller.php, line 490
Dispatcher::_invoke() - CORE/Cake/Routing/Dispatcher.php, line 193
Dispatcher::dispatch() - CORE/Cake/Routing/Dispatcher.php, line 167
[main] - APP/webroot/index.php, line 119

Notice (8): Undefined variable: mauMain [APP/Controller/Component/CommonComponent.php, line 4554]
Code Context
                                        }
                                    }
                                    if($tuMain > $mauMain && $tuMain%$mauMain != 0)
$clone = array(
	'id' => '4124',
	'chart' => '',
	'question_id' => '34867',
	'clone_type' => '1',
	'phpfile' => null,
	'clone_symbol' => null,
	'clone_content' => 'In the number line, what is the value of $(Y)?<br /> Express your answer as a mixed number in its simplest form.<br /><br />$(Z) = $(f2)',
	'clone_solution_step' => 'Number of intervals = $(n6)<br /><br />6 intervals&nbsp;&rarr;&nbsp;$(f2) - $(n0) = $(f1)<br />1 interval &rarr; $(f1) &divide; $(n6) = $(f1) x $(in6) = $(f3)<br /><br />$(Y)<br />= $(n0)&nbsp;+ $(nn2) x $(f3)<br />= $(n0) + $(d2)<br />= $(n0) + $(dd2)<br />= $(n0)$(dd2)<br /><br />Answer(s): $(n0)$(dd2)',
	'clone_answer' => '0$(dd2)														     														     														     														     														     														     														     														     														     														     														     														     														     														     														     														     														     														     														     														     														     														     														     ',
	'array' => object(stdClass) {
		1512367461051 => object(stdClass) {}
		1512367828542 => object(stdClass) {}
		1512367976807 => object(stdClass) {}
		1512368773969 => object(stdClass) {}
		1519786643529 => object(stdClass) {}
	},
	'clone_image' => null,
	'clone_solution_step_image' => null,
	'clone_answer_image' => null,
	'status' => true,
	'created' => '2017-12-04 14:35:48',
	'modified' => '2019-07-08 18:47:34',
	'original_question' => '<span style="color: #0000ff;">5 interval</span> In the number line, what is the value of Y?<br /> Express your answer as a mixed number in its simplest form.',
	'formula' => array(
		(int) 0 => '$(n0) + 1 = $(n1)',
		(int) 1 => '$(n1) + 1 = $(n2)',
		(int) 2 => 'array_get_next_loop($(Y))=$(Z) ',
		(int) 3 => 'do_fraction(+:$(n0),$(f1))=$(f2) ',
		(int) 4 => 'print_fraction(1,$(n6))=$(in6) ',
		(int) 5 => 'do_fraction(*:$(f1),$(in6))=$(f3) ',
		(int) 6 => 'do_fraction(*:$(f3),$(nn2))=$(d2) ',
		(int) 7 => 'get_denominator($(d2))=$(dm) ',
		(int) 8 => 'print_fraction($(dm),$(dm))=$(fn) ',
		(int) 9 => 'share_same_denominator(1:$(f2),$(fn))=$(d1) ',
		(int) 10 => 'get_numerator($(fn))=$(nm1) ',
		(int) 11 => 'get_numerator($(d2))=$(nm2) ',
		(int) 12 => '$(nm1) + $(nm2) = $(t)',
		(int) 13 => 'print_fraction($(t),$(dm))=$(fa) ',
		(int) 14 => 'simplify_fraction($(fa))=$(dd4) ',
		(int) 15 => 'change_mixed_number_to_improper($(dd4))=$(dn) ',
		(int) 16 => 'simplify_fraction($(d2))=$(dd2) '
	),
	'time_value' => array(
		(int) 0 => '1512367674329',
		(int) 1 => '1512367682985',
		(int) 2 => '1512367709715',
		(int) 3 => '1512367804440',
		(int) 4 => '1512367916951',
		(int) 5 => '1512368215070',
		(int) 6 => '1512368215965',
		(int) 7 => '1519884254317',
		(int) 8 => '1519884267836',
		(int) 9 => '1512368294610',
		(int) 10 => '1512368314402',
		(int) 11 => '1519884586501',
		(int) 12 => '1519884596768',
		(int) 13 => '1519884607788',
		(int) 14 => '1519882719308',
		(int) 15 => '1519884783509',
		(int) 16 => '1562582212394'
	),
	'criterion' => array(
		(int) 0 => '',
		(int) 1 => '',
		(int) 2 => '',
		(int) 3 => '',
		(int) 4 => '',
		(int) 5 => '',
		(int) 6 => '',
		(int) 7 => '',
		(int) 8 => '',
		(int) 9 => '',
		(int) 10 => '',
		(int) 11 => '',
		(int) 12 => '',
		(int) 13 => '',
		(int) 14 => '',
		(int) 15 => '',
		(int) 16 => ''
	),
	'type_criterion' => array(
		(int) 0 => '',
		(int) 1 => '',
		(int) 2 => '',
		(int) 3 => '',
		(int) 4 => '',
		(int) 5 => '',
		(int) 6 => '',
		(int) 7 => '',
		(int) 8 => '',
		(int) 9 => '',
		(int) 10 => '',
		(int) 11 => '',
		(int) 12 => '',
		(int) 13 => '',
		(int) 14 => '',
		(int) 15 => '',
		(int) 16 => ''
	),
	'image_gridline' => 'http://ischool.sg/beta-z/img/img_canvas/P4.FR.JM.17101680-Q.png',
	'code_gridline' => 'http://ischool.sg/beta-z/img/img_canvas/P4.FR.JM.17101680-GQ3.png',
	'level' => '',
	'topic_id' => '',
	'source' => '',
	'question_code' => 'P4.FR.JM.17101680-A4',
	'tag' => '',
	'mark' => '',
	'text_working' => '["","","","","","","","","","","","","","","","",""]',
	'original_solution' => 'Number of intervals = 6<br /> 1 interval &rarr; <span class="frac"><sup>1</sup><sub>2</sub></span> &divide; 6 = <span class="frac"><sup>1</sup><sub>12</sub></span><br /> <br /> Y <br /> = 1 <span class="frac"><sup>1</sup><sub>2</sub></span> + 4 x <span class="frac"><sup>1</sup><sub>12</sub></span><br /> = 1 <span class="frac"><sup>6</sup><sub>12</sub></span> + <span class="frac"><sup>4</sup><sub>12</sub></span><br /> = 1 <span class="frac"><sup>10</sup><sub>12</sub></span><br /> = 1 <span class="frac"><sup>5</sup><sub>6</sub></span><br /> <br /> Answer(s): 1 <span class="frac"><sup>5</sup><sub>6</sub></span>',
	'delete_by' => null,
	'delete_date' => null
)
$Array1 = object(Array1) {
	table => 'array1s'
	validate => array()
	useDbConfig => 'default'
	useTable => 'array1s'
	id => '97'
	data => array()
	schemaName => 'ischoolb_orgi'
	primaryKey => 'id'
	validationErrors => array()
	validationDomain => null
	tablePrefix => ''
	plugin => null
	name => 'Array1'
	alias => 'Array1'
	tableToModel => array(
		'array1s' => 'Array1'
	)
	cacheQueries => false
	belongsTo => array()
	hasOne => array()
	hasMany => array()
	hasAndBelongsToMany => array()
	actsAs => null
	Behaviors => object(BehaviorCollection) {}
	whitelist => array()
	cacheSources => true
	findQueryType => null
	recursive => (int) 1
	order => null
	virtualFields => array()
	__backAssociation => array()
	__backInnerAssociation => array()
	__backOriginalAssociation => array()
	__backContainableAssociation => array()
	__safeUpdateMode => false
	useConsistentAfterFind => true
	findMethods => array(
		'all' => true,
		'first' => true,
		'count' => true,
		'neighbors' => true,
		'list' => true,
		'threaded' => true
	)
	[protected] _schema => array(
		'id' => array(
			[maximum depth reached]
		),
		'name' => array(
			[maximum depth reached]
		),
		'content' => array(
			[maximum depth reached]
		),
		'note' => array(
			[maximum depth reached]
		),
		'created' => array(
			[maximum depth reached]
		),
		'modified' => array(
			[maximum depth reached]
		)
	)
	[protected] _associationKeys => array(
		'belongsTo' => array(
			[maximum depth reached]
		),
		'hasOne' => array(
			[maximum depth reached]
		),
		'hasMany' => array(
			[maximum depth reached]
		),
		'hasAndBelongsToMany' => array(
			[maximum depth reached]
		)
	)
	[protected] _associations => array(
		(int) 0 => 'belongsTo',
		(int) 1 => 'hasOne',
		(int) 2 => 'hasMany',
		(int) 3 => 'hasAndBelongsToMany'
	)
	[protected] _insertID => null
	[protected] _sourceConfigured => true
	[protected] _eventManager => object(CakeEventManager) {}
	[protected] _validator => null
}
$Prime = object(AppModel) {
	useDbConfig => 'default'
	useTable => 'primes'
	id => false
	data => array()
	schemaName => null
	table => 'primes'
	primaryKey => 'id'
	validate => array()
	validationErrors => array()
	validationDomain => null
	plugin => null
	name => 'Prime'
	alias => 'Prime'
	tableToModel => array(
		'primes' => 'Prime'
	)
	cacheQueries => false
	belongsTo => array()
	hasOne => array()
	hasMany => array()
	hasAndBelongsToMany => array()
	actsAs => null
	Behaviors => object(BehaviorCollection) {}
	whitelist => array()
	cacheSources => true
	findQueryType => null
	recursive => (int) 1
	order => null
	virtualFields => array()
	__backAssociation => array()
	__backInnerAssociation => array()
	__backOriginalAssociation => array()
	__backContainableAssociation => array()
	__safeUpdateMode => false
	useConsistentAfterFind => true
	findMethods => array(
		'all' => true,
		'first' => true,
		'count' => true,
		'neighbors' => true,
		'list' => true,
		'threaded' => true
	)
	[protected] _schema => null
	[protected] _associationKeys => array(
		'belongsTo' => array(
			[maximum depth reached]
		),
		'hasOne' => array(
			[maximum depth reached]
		),
		'hasMany' => array(
			[maximum depth reached]
		),
		'hasAndBelongsToMany' => array(
			[maximum depth reached]
		)
	)
	[protected] _associations => array(
		(int) 0 => 'belongsTo',
		(int) 1 => 'hasOne',
		(int) 2 => 'hasMany',
		(int) 3 => 'hasAndBelongsToMany'
	)
	[protected] _insertID => null
	[protected] _sourceConfigured => false
	[protected] _eventManager => null
	[protected] _validator => null
}
$answer_fix = '$(n0)$(dd2)														     														     														     														     														     														     														     														     														     														     														     														     														     														     														     														     														     														     														     														     														     														     														     '
$count_crition = (int) 1
$count_array_break = (int) 0
$count_variable_nnt = (int) 0
$message_nnt = ''
$field = 'time_value'
$array_get = array(
	(int) 0 => 'n0',
	(int) 3 => 'f1',
	(int) 4 => 'n6',
	(int) 6 => 'nn2',
	(int) 2 => 'Y',
	(int) 5 => 'f1',
	(int) 1 => '(n1)'
)
$tempt = array(
	(int) 0 => '1/2'
)
$list_name_array = array(
	(int) 0 => 'E'
)
$list_array_item = array(
	'Y' => array(
		'listArray' => array(
			(int) 0 => 'A',
			(int) 1 => 'B',
			(int) 2 => 'C',
			(int) 3 => 'D',
			(int) 4 => 'E',
			(int) 5 => 'F',
			(int) 6 => 'G',
			(int) 7 => 'H',
			(int) 8 => 'J',
			(int) 9 => 'K',
			(int) 10 => 'L',
			(int) 11 => 'M',
			(int) 12 => 'N',
			(int) 13 => 'P',
			(int) 14 => 'Q',
			(int) 15 => 'R',
			(int) 16 => 'S',
			(int) 17 => 'T',
			(int) 18 => 'U',
			(int) 19 => 'V',
			(int) 20 => 'W',
			(int) 21 => 'X',
			(int) 22 => 'Y',
			(int) 23 => 'Z'
		),
		'keyArray' => (int) 4,
		'manyArray' => '0',
		'capitalize' => '1'
	),
	'(Z)' => array(
		'listArray' => array(
			(int) 0 => 'A',
			(int) 1 => 'B',
			(int) 2 => 'C',
			(int) 3 => 'D',
			(int) 4 => 'E',
			(int) 5 => 'F',
			(int) 6 => 'G',
			(int) 7 => 'H',
			(int) 8 => 'J',
			(int) 9 => 'K',
			(int) 10 => 'L',
			(int) 11 => 'M',
			(int) 12 => 'N',
			(int) 13 => 'P',
			(int) 14 => 'Q',
			(int) 15 => 'R',
			(int) 16 => 'S',
			(int) 17 => 'T',
			(int) 18 => 'U',
			(int) 19 => 'V',
			(int) 20 => 'W',
			(int) 21 => 'X',
			(int) 22 => 'Y',
			(int) 23 => 'Z'
		),
		'keyArray' => (int) 5,
		'manyArray' => '0',
		'capitalize' => '1'
	)
)
$list_italic = array()
$array_variable = object(stdClass) {
	1512367461051 => object(stdClass) {}
	1512367828542 => object(stdClass) {}
	1512367976807 => object(stdClass) {}
	1512368773969 => object(stdClass) {}
	1519786643529 => object(stdClass) {}
}
$question_content = 'In the number line, what is the value of $(Y)?<br /> Express your answer as a mixed number in its simplest form.<br /><br />$(Z) = $(f2)'
$solution_step = 'Number of intervals = $(n6)<br /><br />6 intervals&nbsp;&rarr;&nbsp;$(f2) - $(n0) = $(f1)<br />1 interval &rarr; $(f1) &divide; $(n6) = $(f1) x $(in6) = $(f3)<br /><br />$(Y)<br />= $(n0)&nbsp;+ $(nn2) x $(f3)<br />= $(n0) + $(d2)<br />= $(n0) + $(dd2)<br />= $(n0)$(dd2)<br /><br />Answer(s): $(n0)$(dd2)'
$clone_answer = '$(n0)$(dd2)														     														     														     														     														     														     														     														     														     														     														     														     														     														     														     														     														     														     														     														     														     														     														     '
$formula = array(
	(int) 0 => '0+1=1',
	(int) 1 => '1+1=2',
	(int) 2 => 'array_get_next_loop(E)=F',
	(int) 3 => 'do_fraction(+:0,1/2)=$(f2)',
	(int) 4 => 'print_fraction(1,6)=$(in6)',
	(int) 5 => 'do_fraction(*:1/2,$(in6))=$(f3)',
	(int) 6 => 'do_fraction(*:$(f3),2)=$(d2)',
	(int) 7 => 'get_denominator($(d2))=$(dm)',
	(int) 8 => 'print_fraction($(dm),$(dm))=$(fn)',
	(int) 9 => 'share_same_denominator(1:$(f2),$(fn))=$(d1)',
	(int) 10 => 'get_numerator($(fn))=$(nm1)',
	(int) 11 => 'get_numerator($(d2))=$(nm2)',
	(int) 12 => '$(nm1)+$(nm2)=$(t)',
	(int) 13 => 'print_fraction($(t),$(dm))=$(fa)',
	(int) 14 => 'simplify_fraction($(fa))=$(dd4)',
	(int) 15 => 'change_mixed_number_to_improper($(dd4))=$(dn)',
	(int) 16 => 'simplify_fraction($(d2))=$(dd2)'
)
$formula_1 = array(
	(int) 0 => '$(n0) + 1 = $(n1)',
	(int) 1 => '$(n1) + 1 = $(n2)',
	(int) 2 => 'array_get_next_loop($(Y))=$(Z) ',
	(int) 3 => 'do_fraction(+:$(n0),$(f1))=$(f2) ',
	(int) 4 => 'print_fraction(1,$(n6))=$(in6) ',
	(int) 5 => 'do_fraction(*:$(f1),$(in6))=$(f3) ',
	(int) 6 => 'do_fraction(*:$(f3),$(nn2))=$(d2) ',
	(int) 7 => 'get_denominator($(d2))=$(dm) ',
	(int) 8 => 'print_fraction($(dm),$(dm))=$(fn) ',
	(int) 9 => 'share_same_denominator(1:$(f2),$(fn))=$(d1) ',
	(int) 10 => 'get_numerator($(fn))=$(nm1) ',
	(int) 11 => 'get_numerator($(d2))=$(nm2) ',
	(int) 12 => '$(nm1) + $(nm2) = $(t)',
	(int) 13 => 'print_fraction($(t),$(dm))=$(fa) ',
	(int) 14 => 'simplify_fraction($(fa))=$(dd4) ',
	(int) 15 => 'change_mixed_number_to_improper($(dd4))=$(dn) ',
	(int) 16 => 'simplify_fraction($(d2))=$(dd2) '
)
$criterion = array(
	(int) 0 => '',
	(int) 1 => '',
	(int) 2 => '',
	(int) 3 => '',
	(int) 4 => '',
	(int) 5 => '',
	(int) 6 => '',
	(int) 7 => '',
	(int) 8 => '',
	(int) 9 => '',
	(int) 10 => '',
	(int) 11 => '',
	(int) 12 => '',
	(int) 13 => '',
	(int) 14 => '',
	(int) 15 => '',
	(int) 16 => ''
)
$type_criterion = array(
	(int) 0 => '',
	(int) 1 => '',
	(int) 2 => '',
	(int) 3 => '',
	(int) 4 => '',
	(int) 5 => '',
	(int) 6 => '',
	(int) 7 => '',
	(int) 8 => '',
	(int) 9 => '',
	(int) 10 => '',
	(int) 11 => '',
	(int) 12 => '',
	(int) 13 => '',
	(int) 14 => '',
	(int) 15 => '',
	(int) 16 => ''
)
$time_value = array(
	(int) 0 => '1512367674329',
	(int) 1 => '1512367682985',
	(int) 2 => '1512367709715',
	(int) 3 => '1512367804440',
	(int) 4 => '1512367916951',
	(int) 5 => '1512368215070',
	(int) 6 => '1512368215965',
	(int) 7 => '1519884254317',
	(int) 8 => '1519884267836',
	(int) 9 => '1512368294610',
	(int) 10 => '1512368314402',
	(int) 11 => '1519884586501',
	(int) 12 => '1519884596768',
	(int) 13 => '1519884607788',
	(int) 14 => '1519882719308',
	(int) 15 => '1519884783509',
	(int) 16 => '1562582212394'
)
$k = '1519786643529'
$v = object(stdClass) {
	cate => 'fraction'
	name => 'f1'
	attr => object(stdClass) {}
	checkboxFraction => '1'
	range => object(stdClass) {}
}
$mixednumber_session = array(
	(int) 0 => 'f1'
)
$array_system = array(
	(int) 0 => 'A',
	(int) 1 => 'B',
	(int) 2 => 'C',
	(int) 3 => 'D',
	(int) 4 => 'E',
	(int) 5 => 'F',
	(int) 6 => 'G',
	(int) 7 => 'H',
	(int) 8 => 'J',
	(int) 9 => 'K',
	(int) 10 => 'L',
	(int) 11 => 'M',
	(int) 12 => 'N',
	(int) 13 => 'P',
	(int) 14 => 'Q',
	(int) 15 => 'R',
	(int) 16 => 'S',
	(int) 17 => 'T',
	(int) 18 => 'U',
	(int) 19 => 'V',
	(int) 20 => 'W',
	(int) 21 => 'X',
	(int) 22 => 'Y',
	(int) 23 => 'Z'
)
$dem_array_trung = (int) 1
$value_rand_check = (int) 4
$value_check = 'E'
$tempt_k = (int) 0
$tempt_v = '1/2'
$check_who_nnt = (int) 0
$from = '2'
$to = '2'
$result_rand_frac = '1/2'
$findme = '/'
$search_frac = (int) 1
$frac_show = array(
	(int) 0 => '1',
	(int) 1 => '2'
)
$reduce_to_lowest = array(
	(int) 0 => (int) 1,
	(int) 1 => (int) 2
)
$arr_variable = array(
	'n0' => (int) 0,
	'n6' => (int) 6,
	'nn2' => (int) 2,
	'Y' => 'E',
	'f1' => '1/2',
	'(n1)' => (int) 1,
	'(n2)' => (int) 2,
	'(Z)' => 'F'
)
$variable_k = '(Z)'
$variable_v = 'F'
$formula_k = (int) 3
$formula_v = 'do_fraction(+:0,1/2)=$(f2)'
$criterion_k = (int) 16
$criterion_v = ''
$type_criterion_k = (int) 16
$type_criterion_v = ''
$variable_show = array(
	'n0' => (int) 0,
	'n6' => (int) 6,
	'nn2' => (int) 2,
	'Y' => 'E',
	'f1' => '1/2'
)
$start = 'do_fraction('
$end = ')'
$array_mixed_nnt = array(
	(int) 3 => 'yes',
	(int) 5 => 'yes'
)
$check_changes = 'simplify_fraction($(d2))=$(dd2)'
$criterion_continue = '2)=$(f2)'
$criterion_back = '(f2)'
$get_between = '+:0,1/2'
$bieuthuc = array(
	(int) 0 => 'do_fraction(+:0,1/2)',
	(int) 1 => '(f2)'
)
$substr_pos = 'change_decimal_to_fraction'
$get_numerator = false
$get_whole_number_nnt = false
$pos = false
$giatri = ''
$substr_simplify_frac = 'simplify_fraction'
$simplify_frac = false
$substr_simplify_ratio = 'simplify_ratio'
$simplify_ratio = false
$substr_get_element_of_ratio = 'get_element'
$get_element_of_ratio = false
$substr_numberto2decimal = 'change_number_to_2dp'
$change_to_2dp = false
$substr_digit_5_0 = 'change_to_2dp_with_5_or_0'
$change_to_2dp_5_or_0 = false
$substr_mixed_num = 'change_improper_to_mixed_number'
$mixed_num = false
$substr_mixed_to_improper = 'change_mixed_number_to_improper'
$mixed_to_improper = false
$substr_invert_fraction = 'invert_fraction'
$invert_fraction = false
$substr_get_same_numerator = 'share_same_numerator'
$get_same_numerator = false
$substr_get_same_denominator = 'share_same_denominator'
$get_same_denominator = false
$substr_reduce_into_ratio = 'simplify_any_into_ratio'
$reduce_into_ratio = false
$substr_multiply_subscript = 'multiply_ratio_subscript'
$multiply_subscript = false
$substr_assign = 'assign'
$assign = false
$substr_is_12_hour_time_am_pm = 'get_12_hour_time_am_pm'
$is_12_hour_time_am_pm = false
$substr_is_2400_hour_time = 'get_2400_hour_time'
$is_2400_hour_time = false
$substr_add_or_minus_time = 'add_or_minus_min_or_s'
$add_or_minus_time = false
$substr_change_percentage_to_frac = 'change_percentage_to_frac'
$change_percentage_to_frac = false
$substr_round_2_decimal = 'round_2_decimal_place'
$round_2_decimal_place = false
$substr_round_1_decimal = 'round_1_decimal_place'
$round_1_decimal_place = false
$substr_get_quotient = 'get_quotient'
$get_quotient = false
$substr_get_remainder = 'get_remainder'
$get_remainder = false
$substr_change_min_to_hour_min = 'change_min_to_h_min'
$change_min_to_hour_min = false
$substr_change_h_min_to_min = 'change_h_min_to_min'
$change_h_min_to_min = false
$substr_carry_1 = 'carry_1_from_mixed_number'
$get_carry_1 = false
$change_d_or_p_to_fraction = 'change_to_unsimplied_fraction'
$get_change_d_or_p_to_fraction = false
$round_off_to_nearest_ten = 'round_off_to_nearest_ten'
$get_round_off_to_nearest_ten = false
$round_off_to_nearest_hundred = 'round_off_to_nearest_hundred'
$get_round_off_to_nearest_hundred = false
$round_off_to_nearest_thousand = 'round_off_to_nearest_thousand'
$get_round_off_to_nearest_thousand = false
$change_12_to_24 = 'change_12h_to_24h'
$get_12_to_24 = false
$change_24_to_12 = 'change_24h_to_12h'
$get_24_to_12 = false
$get_factors = 'get_factors'
$get_factors_nnt = false
$get_common_factors = 'get_common_factors'
$get_common_factors_nnt = false
$get_multiples = 'get_multiples'
$get_multiples_23916 = false
$get_add_or_minus_multiples = 'add_or_minus_multiples'
$add_or_minus_multiples_23916 = false
$get_common_numbers = 'get_common_numbers'
$get_common_numbers_240916 = false
$substr_array_singular = 'array_singular'
$array_singular_101016 = false
$substr_array_plural = 'array_plural'
$array_plural_101016 = false
$substr_print_fraction = 'print_fraction'
$print_fraction_101016 = false
$substr_array_capitalize = 'array_capitalize'
$array_capitalize_101016 = false
$substr_array_get_words = 'array_get_words'
$array_get_words_31316 = false
$substr_array_get_1st_letter = 'array_get_1st_letter'
$array_array_get_1st_letter = false
$substr_array_get_next_loop = 'array_get_next_loop'
$array_get_next_loop = false
$substr_array_get_next_break = 'array_get_next_break'
$array_get_next_break = false
$substr_multiply_fraction = 'do_fraction'
$array_multiply_fraction = (int) 0
$substr_change_to_italic = 'change_to_italic'
$array_change_to_italic = false
$key_a = 'Y'
$keyArray = (int) 5
$count_check = array(
	(int) 0 => '+',
	(int) 1 => '0,1/2'
)
$arr_caculoid = array(
	(int) 0 => '+',
	(int) 1 => '-',
	(int) 2 => '*',
	(int) 3 => '/'
)
$two_fraction = array(
	(int) 0 => '0',
	(int) 1 => '1/2'
)
$findme2 = '.'
$search_tu = false
$search_tu2 = false
$search_mau = (int) 1
$search_mau2 = false
$tuOne = '0'
$mauOne = (int) 1
$split_mau = array(
	(int) 0 => '1',
	(int) 1 => '2'
)
$tuTwo = '1'
$mauTwo = '2'
$k1 = (int) 16
$v1 = 'simplify_fraction($(d2))=$(dd2)'
CommonComponent::generateAdvClone() - APP/Controller/Component/CommonComponent.php, line 4554
ClonesController::index2() - APP/Controller/ClonesController.php, line 2226
ReflectionMethod::invokeArgs() - [internal], line ??
Controller::invokeAction() - CORE/Cake/Controller/Controller.php, line 490
Dispatcher::_invoke() - CORE/Cake/Routing/Dispatcher.php, line 193
Dispatcher::dispatch() - CORE/Cake/Routing/Dispatcher.php, line 167
[main] - APP/webroot/index.php, line 119

Notice (8): Undefined variable: mauMain [APP/Controller/Component/CommonComponent.php, line 4563]
Code Context
                                        
                                    }
                                    if($tuMain%$mauMain === 0)
$clone = array(
	'id' => '4124',
	'chart' => '',
	'question_id' => '34867',
	'clone_type' => '1',
	'phpfile' => null,
	'clone_symbol' => null,
	'clone_content' => 'In the number line, what is the value of $(Y)?<br /> Express your answer as a mixed number in its simplest form.<br /><br />$(Z) = $(f2)',
	'clone_solution_step' => 'Number of intervals = $(n6)<br /><br />6 intervals&nbsp;&rarr;&nbsp;$(f2) - $(n0) = $(f1)<br />1 interval &rarr; $(f1) &divide; $(n6) = $(f1) x $(in6) = $(f3)<br /><br />$(Y)<br />= $(n0)&nbsp;+ $(nn2) x $(f3)<br />= $(n0) + $(d2)<br />= $(n0) + $(dd2)<br />= $(n0)$(dd2)<br /><br />Answer(s): $(n0)$(dd2)',
	'clone_answer' => '0$(dd2)														     														     														     														     														     														     														     														     														     														     														     														     														     														     														     														     														     														     														     														     														     														     														     ',
	'array' => object(stdClass) {
		1512367461051 => object(stdClass) {}
		1512367828542 => object(stdClass) {}
		1512367976807 => object(stdClass) {}
		1512368773969 => object(stdClass) {}
		1519786643529 => object(stdClass) {}
	},
	'clone_image' => null,
	'clone_solution_step_image' => null,
	'clone_answer_image' => null,
	'status' => true,
	'created' => '2017-12-04 14:35:48',
	'modified' => '2019-07-08 18:47:34',
	'original_question' => '<span style="color: #0000ff;">5 interval</span> In the number line, what is the value of Y?<br /> Express your answer as a mixed number in its simplest form.',
	'formula' => array(
		(int) 0 => '$(n0) + 1 = $(n1)',
		(int) 1 => '$(n1) + 1 = $(n2)',
		(int) 2 => 'array_get_next_loop($(Y))=$(Z) ',
		(int) 3 => 'do_fraction(+:$(n0),$(f1))=$(f2) ',
		(int) 4 => 'print_fraction(1,$(n6))=$(in6) ',
		(int) 5 => 'do_fraction(*:$(f1),$(in6))=$(f3) ',
		(int) 6 => 'do_fraction(*:$(f3),$(nn2))=$(d2) ',
		(int) 7 => 'get_denominator($(d2))=$(dm) ',
		(int) 8 => 'print_fraction($(dm),$(dm))=$(fn) ',
		(int) 9 => 'share_same_denominator(1:$(f2),$(fn))=$(d1) ',
		(int) 10 => 'get_numerator($(fn))=$(nm1) ',
		(int) 11 => 'get_numerator($(d2))=$(nm2) ',
		(int) 12 => '$(nm1) + $(nm2) = $(t)',
		(int) 13 => 'print_fraction($(t),$(dm))=$(fa) ',
		(int) 14 => 'simplify_fraction($(fa))=$(dd4) ',
		(int) 15 => 'change_mixed_number_to_improper($(dd4))=$(dn) ',
		(int) 16 => 'simplify_fraction($(d2))=$(dd2) '
	),
	'time_value' => array(
		(int) 0 => '1512367674329',
		(int) 1 => '1512367682985',
		(int) 2 => '1512367709715',
		(int) 3 => '1512367804440',
		(int) 4 => '1512367916951',
		(int) 5 => '1512368215070',
		(int) 6 => '1512368215965',
		(int) 7 => '1519884254317',
		(int) 8 => '1519884267836',
		(int) 9 => '1512368294610',
		(int) 10 => '1512368314402',
		(int) 11 => '1519884586501',
		(int) 12 => '1519884596768',
		(int) 13 => '1519884607788',
		(int) 14 => '1519882719308',
		(int) 15 => '1519884783509',
		(int) 16 => '1562582212394'
	),
	'criterion' => array(
		(int) 0 => '',
		(int) 1 => '',
		(int) 2 => '',
		(int) 3 => '',
		(int) 4 => '',
		(int) 5 => '',
		(int) 6 => '',
		(int) 7 => '',
		(int) 8 => '',
		(int) 9 => '',
		(int) 10 => '',
		(int) 11 => '',
		(int) 12 => '',
		(int) 13 => '',
		(int) 14 => '',
		(int) 15 => '',
		(int) 16 => ''
	),
	'type_criterion' => array(
		(int) 0 => '',
		(int) 1 => '',
		(int) 2 => '',
		(int) 3 => '',
		(int) 4 => '',
		(int) 5 => '',
		(int) 6 => '',
		(int) 7 => '',
		(int) 8 => '',
		(int) 9 => '',
		(int) 10 => '',
		(int) 11 => '',
		(int) 12 => '',
		(int) 13 => '',
		(int) 14 => '',
		(int) 15 => '',
		(int) 16 => ''
	),
	'image_gridline' => 'http://ischool.sg/beta-z/img/img_canvas/P4.FR.JM.17101680-Q.png',
	'code_gridline' => 'http://ischool.sg/beta-z/img/img_canvas/P4.FR.JM.17101680-GQ3.png',
	'level' => '',
	'topic_id' => '',
	'source' => '',
	'question_code' => 'P4.FR.JM.17101680-A4',
	'tag' => '',
	'mark' => '',
	'text_working' => '["","","","","","","","","","","","","","","","",""]',
	'original_solution' => 'Number of intervals = 6<br /> 1 interval &rarr; <span class="frac"><sup>1</sup><sub>2</sub></span> &divide; 6 = <span class="frac"><sup>1</sup><sub>12</sub></span><br /> <br /> Y <br /> = 1 <span class="frac"><sup>1</sup><sub>2</sub></span> + 4 x <span class="frac"><sup>1</sup><sub>12</sub></span><br /> = 1 <span class="frac"><sup>6</sup><sub>12</sub></span> + <span class="frac"><sup>4</sup><sub>12</sub></span><br /> = 1 <span class="frac"><sup>10</sup><sub>12</sub></span><br /> = 1 <span class="frac"><sup>5</sup><sub>6</sub></span><br /> <br /> Answer(s): 1 <span class="frac"><sup>5</sup><sub>6</sub></span>',
	'delete_by' => null,
	'delete_date' => null
)
$Array1 = object(Array1) {
	table => 'array1s'
	validate => array()
	useDbConfig => 'default'
	useTable => 'array1s'
	id => '97'
	data => array()
	schemaName => 'ischoolb_orgi'
	primaryKey => 'id'
	validationErrors => array()
	validationDomain => null
	tablePrefix => ''
	plugin => null
	name => 'Array1'
	alias => 'Array1'
	tableToModel => array(
		'array1s' => 'Array1'
	)
	cacheQueries => false
	belongsTo => array()
	hasOne => array()
	hasMany => array()
	hasAndBelongsToMany => array()
	actsAs => null
	Behaviors => object(BehaviorCollection) {}
	whitelist => array()
	cacheSources => true
	findQueryType => null
	recursive => (int) 1
	order => null
	virtualFields => array()
	__backAssociation => array()
	__backInnerAssociation => array()
	__backOriginalAssociation => array()
	__backContainableAssociation => array()
	__safeUpdateMode => false
	useConsistentAfterFind => true
	findMethods => array(
		'all' => true,
		'first' => true,
		'count' => true,
		'neighbors' => true,
		'list' => true,
		'threaded' => true
	)
	[protected] _schema => array(
		'id' => array(
			[maximum depth reached]
		),
		'name' => array(
			[maximum depth reached]
		),
		'content' => array(
			[maximum depth reached]
		),
		'note' => array(
			[maximum depth reached]
		),
		'created' => array(
			[maximum depth reached]
		),
		'modified' => array(
			[maximum depth reached]
		)
	)
	[protected] _associationKeys => array(
		'belongsTo' => array(
			[maximum depth reached]
		),
		'hasOne' => array(
			[maximum depth reached]
		),
		'hasMany' => array(
			[maximum depth reached]
		),
		'hasAndBelongsToMany' => array(
			[maximum depth reached]
		)
	)
	[protected] _associations => array(
		(int) 0 => 'belongsTo',
		(int) 1 => 'hasOne',
		(int) 2 => 'hasMany',
		(int) 3 => 'hasAndBelongsToMany'
	)
	[protected] _insertID => null
	[protected] _sourceConfigured => true
	[protected] _eventManager => object(CakeEventManager) {}
	[protected] _validator => null
}
$Prime = object(AppModel) {
	useDbConfig => 'default'
	useTable => 'primes'
	id => false
	data => array()
	schemaName => null
	table => 'primes'
	primaryKey => 'id'
	validate => array()
	validationErrors => array()
	validationDomain => null
	plugin => null
	name => 'Prime'
	alias => 'Prime'
	tableToModel => array(
		'primes' => 'Prime'
	)
	cacheQueries => false
	belongsTo => array()
	hasOne => array()
	hasMany => array()
	hasAndBelongsToMany => array()
	actsAs => null
	Behaviors => object(BehaviorCollection) {}
	whitelist => array()
	cacheSources => true
	findQueryType => null
	recursive => (int) 1
	order => null
	virtualFields => array()
	__backAssociation => array()
	__backInnerAssociation => array()
	__backOriginalAssociation => array()
	__backContainableAssociation => array()
	__safeUpdateMode => false
	useConsistentAfterFind => true
	findMethods => array(
		'all' => true,
		'first' => true,
		'count' => true,
		'neighbors' => true,
		'list' => true,
		'threaded' => true
	)
	[protected] _schema => null
	[protected] _associationKeys => array(
		'belongsTo' => array(
			[maximum depth reached]
		),
		'hasOne' => array(
			[maximum depth reached]
		),
		'hasMany' => array(
			[maximum depth reached]
		),
		'hasAndBelongsToMany' => array(
			[maximum depth reached]
		)
	)
	[protected] _associations => array(
		(int) 0 => 'belongsTo',
		(int) 1 => 'hasOne',
		(int) 2 => 'hasMany',
		(int) 3 => 'hasAndBelongsToMany'
	)
	[protected] _insertID => null
	[protected] _sourceConfigured => false
	[protected] _eventManager => null
	[protected] _validator => null
}
$answer_fix = '$(n0)$(dd2)														     														     														     														     														     														     														     														     														     														     														     														     														     														     														     														     														     														     														     														     														     														     														     '
$count_crition = (int) 1
$count_array_break = (int) 0
$count_variable_nnt = (int) 0
$message_nnt = ''
$field = 'time_value'
$array_get = array(
	(int) 0 => 'n0',
	(int) 3 => 'f1',
	(int) 4 => 'n6',
	(int) 6 => 'nn2',
	(int) 2 => 'Y',
	(int) 5 => 'f1',
	(int) 1 => '(n1)'
)
$tempt = array(
	(int) 0 => '1/2'
)
$list_name_array = array(
	(int) 0 => 'E'
)
$list_array_item = array(
	'Y' => array(
		'listArray' => array(
			(int) 0 => 'A',
			(int) 1 => 'B',
			(int) 2 => 'C',
			(int) 3 => 'D',
			(int) 4 => 'E',
			(int) 5 => 'F',
			(int) 6 => 'G',
			(int) 7 => 'H',
			(int) 8 => 'J',
			(int) 9 => 'K',
			(int) 10 => 'L',
			(int) 11 => 'M',
			(int) 12 => 'N',
			(int) 13 => 'P',
			(int) 14 => 'Q',
			(int) 15 => 'R',
			(int) 16 => 'S',
			(int) 17 => 'T',
			(int) 18 => 'U',
			(int) 19 => 'V',
			(int) 20 => 'W',
			(int) 21 => 'X',
			(int) 22 => 'Y',
			(int) 23 => 'Z'
		),
		'keyArray' => (int) 4,
		'manyArray' => '0',
		'capitalize' => '1'
	),
	'(Z)' => array(
		'listArray' => array(
			(int) 0 => 'A',
			(int) 1 => 'B',
			(int) 2 => 'C',
			(int) 3 => 'D',
			(int) 4 => 'E',
			(int) 5 => 'F',
			(int) 6 => 'G',
			(int) 7 => 'H',
			(int) 8 => 'J',
			(int) 9 => 'K',
			(int) 10 => 'L',
			(int) 11 => 'M',
			(int) 12 => 'N',
			(int) 13 => 'P',
			(int) 14 => 'Q',
			(int) 15 => 'R',
			(int) 16 => 'S',
			(int) 17 => 'T',
			(int) 18 => 'U',
			(int) 19 => 'V',
			(int) 20 => 'W',
			(int) 21 => 'X',
			(int) 22 => 'Y',
			(int) 23 => 'Z'
		),
		'keyArray' => (int) 5,
		'manyArray' => '0',
		'capitalize' => '1'
	)
)
$list_italic = array()
$array_variable = object(stdClass) {
	1512367461051 => object(stdClass) {}
	1512367828542 => object(stdClass) {}
	1512367976807 => object(stdClass) {}
	1512368773969 => object(stdClass) {}
	1519786643529 => object(stdClass) {}
}
$question_content = 'In the number line, what is the value of $(Y)?<br /> Express your answer as a mixed number in its simplest form.<br /><br />$(Z) = $(f2)'
$solution_step = 'Number of intervals = $(n6)<br /><br />6 intervals&nbsp;&rarr;&nbsp;$(f2) - $(n0) = $(f1)<br />1 interval &rarr; $(f1) &divide; $(n6) = $(f1) x $(in6) = $(f3)<br /><br />$(Y)<br />= $(n0)&nbsp;+ $(nn2) x $(f3)<br />= $(n0) + $(d2)<br />= $(n0) + $(dd2)<br />= $(n0)$(dd2)<br /><br />Answer(s): $(n0)$(dd2)'
$clone_answer = '$(n0)$(dd2)														     														     														     														     														     														     														     														     														     														     														     														     														     														     														     														     														     														     														     														     														     														     														     '
$formula = array(
	(int) 0 => '0+1=1',
	(int) 1 => '1+1=2',
	(int) 2 => 'array_get_next_loop(E)=F',
	(int) 3 => 'do_fraction(+:0,1/2)=$(f2)',
	(int) 4 => 'print_fraction(1,6)=$(in6)',
	(int) 5 => 'do_fraction(*:1/2,$(in6))=$(f3)',
	(int) 6 => 'do_fraction(*:$(f3),2)=$(d2)',
	(int) 7 => 'get_denominator($(d2))=$(dm)',
	(int) 8 => 'print_fraction($(dm),$(dm))=$(fn)',
	(int) 9 => 'share_same_denominator(1:$(f2),$(fn))=$(d1)',
	(int) 10 => 'get_numerator($(fn))=$(nm1)',
	(int) 11 => 'get_numerator($(d2))=$(nm2)',
	(int) 12 => '$(nm1)+$(nm2)=$(t)',
	(int) 13 => 'print_fraction($(t),$(dm))=$(fa)',
	(int) 14 => 'simplify_fraction($(fa))=$(dd4)',
	(int) 15 => 'change_mixed_number_to_improper($(dd4))=$(dn)',
	(int) 16 => 'simplify_fraction($(d2))=$(dd2)'
)
$formula_1 = array(
	(int) 0 => '$(n0) + 1 = $(n1)',
	(int) 1 => '$(n1) + 1 = $(n2)',
	(int) 2 => 'array_get_next_loop($(Y))=$(Z) ',
	(int) 3 => 'do_fraction(+:$(n0),$(f1))=$(f2) ',
	(int) 4 => 'print_fraction(1,$(n6))=$(in6) ',
	(int) 5 => 'do_fraction(*:$(f1),$(in6))=$(f3) ',
	(int) 6 => 'do_fraction(*:$(f3),$(nn2))=$(d2) ',
	(int) 7 => 'get_denominator($(d2))=$(dm) ',
	(int) 8 => 'print_fraction($(dm),$(dm))=$(fn) ',
	(int) 9 => 'share_same_denominator(1:$(f2),$(fn))=$(d1) ',
	(int) 10 => 'get_numerator($(fn))=$(nm1) ',
	(int) 11 => 'get_numerator($(d2))=$(nm2) ',
	(int) 12 => '$(nm1) + $(nm2) = $(t)',
	(int) 13 => 'print_fraction($(t),$(dm))=$(fa) ',
	(int) 14 => 'simplify_fraction($(fa))=$(dd4) ',
	(int) 15 => 'change_mixed_number_to_improper($(dd4))=$(dn) ',
	(int) 16 => 'simplify_fraction($(d2))=$(dd2) '
)
$criterion = array(
	(int) 0 => '',
	(int) 1 => '',
	(int) 2 => '',
	(int) 3 => '',
	(int) 4 => '',
	(int) 5 => '',
	(int) 6 => '',
	(int) 7 => '',
	(int) 8 => '',
	(int) 9 => '',
	(int) 10 => '',
	(int) 11 => '',
	(int) 12 => '',
	(int) 13 => '',
	(int) 14 => '',
	(int) 15 => '',
	(int) 16 => ''
)
$type_criterion = array(
	(int) 0 => '',
	(int) 1 => '',
	(int) 2 => '',
	(int) 3 => '',
	(int) 4 => '',
	(int) 5 => '',
	(int) 6 => '',
	(int) 7 => '',
	(int) 8 => '',
	(int) 9 => '',
	(int) 10 => '',
	(int) 11 => '',
	(int) 12 => '',
	(int) 13 => '',
	(int) 14 => '',
	(int) 15 => '',
	(int) 16 => ''
)
$time_value = array(
	(int) 0 => '1512367674329',
	(int) 1 => '1512367682985',
	(int) 2 => '1512367709715',
	(int) 3 => '1512367804440',
	(int) 4 => '1512367916951',
	(int) 5 => '1512368215070',
	(int) 6 => '1512368215965',
	(int) 7 => '1519884254317',
	(int) 8 => '1519884267836',
	(int) 9 => '1512368294610',
	(int) 10 => '1512368314402',
	(int) 11 => '1519884586501',
	(int) 12 => '1519884596768',
	(int) 13 => '1519884607788',
	(int) 14 => '1519882719308',
	(int) 15 => '1519884783509',
	(int) 16 => '1562582212394'
)
$k = '1519786643529'
$v = object(stdClass) {
	cate => 'fraction'
	name => 'f1'
	attr => object(stdClass) {}
	checkboxFraction => '1'
	range => object(stdClass) {}
}
$mixednumber_session = array(
	(int) 0 => 'f1'
)
$array_system = array(
	(int) 0 => 'A',
	(int) 1 => 'B',
	(int) 2 => 'C',
	(int) 3 => 'D',
	(int) 4 => 'E',
	(int) 5 => 'F',
	(int) 6 => 'G',
	(int) 7 => 'H',
	(int) 8 => 'J',
	(int) 9 => 'K',
	(int) 10 => 'L',
	(int) 11 => 'M',
	(int) 12 => 'N',
	(int) 13 => 'P',
	(int) 14 => 'Q',
	(int) 15 => 'R',
	(int) 16 => 'S',
	(int) 17 => 'T',
	(int) 18 => 'U',
	(int) 19 => 'V',
	(int) 20 => 'W',
	(int) 21 => 'X',
	(int) 22 => 'Y',
	(int) 23 => 'Z'
)
$dem_array_trung = (int) 1
$value_rand_check = (int) 4
$value_check = 'E'
$tempt_k = (int) 0
$tempt_v = '1/2'
$check_who_nnt = (int) 0
$from = '2'
$to = '2'
$result_rand_frac = '1/2'
$findme = '/'
$search_frac = (int) 1
$frac_show = array(
	(int) 0 => '1',
	(int) 1 => '2'
)
$reduce_to_lowest = array(
	(int) 0 => (int) 1,
	(int) 1 => (int) 2
)
$arr_variable = array(
	'n0' => (int) 0,
	'n6' => (int) 6,
	'nn2' => (int) 2,
	'Y' => 'E',
	'f1' => '1/2',
	'(n1)' => (int) 1,
	'(n2)' => (int) 2,
	'(Z)' => 'F'
)
$variable_k = '(Z)'
$variable_v = 'F'
$formula_k = (int) 3
$formula_v = 'do_fraction(+:0,1/2)=$(f2)'
$criterion_k = (int) 16
$criterion_v = ''
$type_criterion_k = (int) 16
$type_criterion_v = ''
$variable_show = array(
	'n0' => (int) 0,
	'n6' => (int) 6,
	'nn2' => (int) 2,
	'Y' => 'E',
	'f1' => '1/2'
)
$start = 'do_fraction('
$end = ')'
$array_mixed_nnt = array(
	(int) 3 => 'yes',
	(int) 5 => 'yes'
)
$check_changes = 'simplify_fraction($(d2))=$(dd2)'
$criterion_continue = '2)=$(f2)'
$criterion_back = '(f2)'
$get_between = '+:0,1/2'
$bieuthuc = array(
	(int) 0 => 'do_fraction(+:0,1/2)',
	(int) 1 => '(f2)'
)
$substr_pos = 'change_decimal_to_fraction'
$get_numerator = false
$get_whole_number_nnt = false
$pos = false
$giatri = ''
$substr_simplify_frac = 'simplify_fraction'
$simplify_frac = false
$substr_simplify_ratio = 'simplify_ratio'
$simplify_ratio = false
$substr_get_element_of_ratio = 'get_element'
$get_element_of_ratio = false
$substr_numberto2decimal = 'change_number_to_2dp'
$change_to_2dp = false
$substr_digit_5_0 = 'change_to_2dp_with_5_or_0'
$change_to_2dp_5_or_0 = false
$substr_mixed_num = 'change_improper_to_mixed_number'
$mixed_num = false
$substr_mixed_to_improper = 'change_mixed_number_to_improper'
$mixed_to_improper = false
$substr_invert_fraction = 'invert_fraction'
$invert_fraction = false
$substr_get_same_numerator = 'share_same_numerator'
$get_same_numerator = false
$substr_get_same_denominator = 'share_same_denominator'
$get_same_denominator = false
$substr_reduce_into_ratio = 'simplify_any_into_ratio'
$reduce_into_ratio = false
$substr_multiply_subscript = 'multiply_ratio_subscript'
$multiply_subscript = false
$substr_assign = 'assign'
$assign = false
$substr_is_12_hour_time_am_pm = 'get_12_hour_time_am_pm'
$is_12_hour_time_am_pm = false
$substr_is_2400_hour_time = 'get_2400_hour_time'
$is_2400_hour_time = false
$substr_add_or_minus_time = 'add_or_minus_min_or_s'
$add_or_minus_time = false
$substr_change_percentage_to_frac = 'change_percentage_to_frac'
$change_percentage_to_frac = false
$substr_round_2_decimal = 'round_2_decimal_place'
$round_2_decimal_place = false
$substr_round_1_decimal = 'round_1_decimal_place'
$round_1_decimal_place = false
$substr_get_quotient = 'get_quotient'
$get_quotient = false
$substr_get_remainder = 'get_remainder'
$get_remainder = false
$substr_change_min_to_hour_min = 'change_min_to_h_min'
$change_min_to_hour_min = false
$substr_change_h_min_to_min = 'change_h_min_to_min'
$change_h_min_to_min = false
$substr_carry_1 = 'carry_1_from_mixed_number'
$get_carry_1 = false
$change_d_or_p_to_fraction = 'change_to_unsimplied_fraction'
$get_change_d_or_p_to_fraction = false
$round_off_to_nearest_ten = 'round_off_to_nearest_ten'
$get_round_off_to_nearest_ten = false
$round_off_to_nearest_hundred = 'round_off_to_nearest_hundred'
$get_round_off_to_nearest_hundred = false
$round_off_to_nearest_thousand = 'round_off_to_nearest_thousand'
$get_round_off_to_nearest_thousand = false
$change_12_to_24 = 'change_12h_to_24h'
$get_12_to_24 = false
$change_24_to_12 = 'change_24h_to_12h'
$get_24_to_12 = false
$get_factors = 'get_factors'
$get_factors_nnt = false
$get_common_factors = 'get_common_factors'
$get_common_factors_nnt = false
$get_multiples = 'get_multiples'
$get_multiples_23916 = false
$get_add_or_minus_multiples = 'add_or_minus_multiples'
$add_or_minus_multiples_23916 = false
$get_common_numbers = 'get_common_numbers'
$get_common_numbers_240916 = false
$substr_array_singular = 'array_singular'
$array_singular_101016 = false
$substr_array_plural = 'array_plural'
$array_plural_101016 = false
$substr_print_fraction = 'print_fraction'
$print_fraction_101016 = false
$substr_array_capitalize = 'array_capitalize'
$array_capitalize_101016 = false
$substr_array_get_words = 'array_get_words'
$array_get_words_31316 = false
$substr_array_get_1st_letter = 'array_get_1st_letter'
$array_array_get_1st_letter = false
$substr_array_get_next_loop = 'array_get_next_loop'
$array_get_next_loop = false
$substr_array_get_next_break = 'array_get_next_break'
$array_get_next_break = false
$substr_multiply_fraction = 'do_fraction'
$array_multiply_fraction = (int) 0
$substr_change_to_italic = 'change_to_italic'
$array_change_to_italic = false
$key_a = 'Y'
$keyArray = (int) 5
$count_check = array(
	(int) 0 => '+',
	(int) 1 => '0,1/2'
)
$arr_caculoid = array(
	(int) 0 => '+',
	(int) 1 => '-',
	(int) 2 => '*',
	(int) 3 => '/'
)
$two_fraction = array(
	(int) 0 => '0',
	(int) 1 => '1/2'
)
$findme2 = '.'
$search_tu = false
$search_tu2 = false
$search_mau = (int) 1
$search_mau2 = false
$tuOne = '0'
$mauOne = (int) 1
$split_mau = array(
	(int) 0 => '1',
	(int) 1 => '2'
)
$tuTwo = '1'
$mauTwo = '2'
$k1 = (int) 16
$v1 = 'simplify_fraction($(d2))=$(dd2)'
CommonComponent::generateAdvClone() - APP/Controller/Component/CommonComponent.php, line 4563
ClonesController::index2() - APP/Controller/ClonesController.php, line 2226
ReflectionMethod::invokeArgs() - [internal], line ??
Controller::invokeAction() - CORE/Cake/Controller/Controller.php, line 490
Dispatcher::_invoke() - CORE/Cake/Routing/Dispatcher.php, line 193
Dispatcher::dispatch() - CORE/Cake/Routing/Dispatcher.php, line 167
[main] - APP/webroot/index.php, line 119

Notice (8): Undefined variable: tuMain [APP/Controller/Component/CommonComponent.php, line 4563]
Code Context
                                        
                                    }
                                    if($tuMain%$mauMain === 0)
$clone = array(
	'id' => '4124',
	'chart' => '',
	'question_id' => '34867',
	'clone_type' => '1',
	'phpfile' => null,
	'clone_symbol' => null,
	'clone_content' => 'In the number line, what is the value of $(Y)?<br /> Express your answer as a mixed number in its simplest form.<br /><br />$(Z) = $(f2)',
	'clone_solution_step' => 'Number of intervals = $(n6)<br /><br />6 intervals&nbsp;&rarr;&nbsp;$(f2) - $(n0) = $(f1)<br />1 interval &rarr; $(f1) &divide; $(n6) = $(f1) x $(in6) = $(f3)<br /><br />$(Y)<br />= $(n0)&nbsp;+ $(nn2) x $(f3)<br />= $(n0) + $(d2)<br />= $(n0) + $(dd2)<br />= $(n0)$(dd2)<br /><br />Answer(s): $(n0)$(dd2)',
	'clone_answer' => '0$(dd2)														     														     														     														     														     														     														     														     														     														     														     														     														     														     														     														     														     														     														     														     														     														     														     ',
	'array' => object(stdClass) {
		1512367461051 => object(stdClass) {}
		1512367828542 => object(stdClass) {}
		1512367976807 => object(stdClass) {}
		1512368773969 => object(stdClass) {}
		1519786643529 => object(stdClass) {}
	},
	'clone_image' => null,
	'clone_solution_step_image' => null,
	'clone_answer_image' => null,
	'status' => true,
	'created' => '2017-12-04 14:35:48',
	'modified' => '2019-07-08 18:47:34',
	'original_question' => '<span style="color: #0000ff;">5 interval</span> In the number line, what is the value of Y?<br /> Express your answer as a mixed number in its simplest form.',
	'formula' => array(
		(int) 0 => '$(n0) + 1 = $(n1)',
		(int) 1 => '$(n1) + 1 = $(n2)',
		(int) 2 => 'array_get_next_loop($(Y))=$(Z) ',
		(int) 3 => 'do_fraction(+:$(n0),$(f1))=$(f2) ',
		(int) 4 => 'print_fraction(1,$(n6))=$(in6) ',
		(int) 5 => 'do_fraction(*:$(f1),$(in6))=$(f3) ',
		(int) 6 => 'do_fraction(*:$(f3),$(nn2))=$(d2) ',
		(int) 7 => 'get_denominator($(d2))=$(dm) ',
		(int) 8 => 'print_fraction($(dm),$(dm))=$(fn) ',
		(int) 9 => 'share_same_denominator(1:$(f2),$(fn))=$(d1) ',
		(int) 10 => 'get_numerator($(fn))=$(nm1) ',
		(int) 11 => 'get_numerator($(d2))=$(nm2) ',
		(int) 12 => '$(nm1) + $(nm2) = $(t)',
		(int) 13 => 'print_fraction($(t),$(dm))=$(fa) ',
		(int) 14 => 'simplify_fraction($(fa))=$(dd4) ',
		(int) 15 => 'change_mixed_number_to_improper($(dd4))=$(dn) ',
		(int) 16 => 'simplify_fraction($(d2))=$(dd2) '
	),
	'time_value' => array(
		(int) 0 => '1512367674329',
		(int) 1 => '1512367682985',
		(int) 2 => '1512367709715',
		(int) 3 => '1512367804440',
		(int) 4 => '1512367916951',
		(int) 5 => '1512368215070',
		(int) 6 => '1512368215965',
		(int) 7 => '1519884254317',
		(int) 8 => '1519884267836',
		(int) 9 => '1512368294610',
		(int) 10 => '1512368314402',
		(int) 11 => '1519884586501',
		(int) 12 => '1519884596768',
		(int) 13 => '1519884607788',
		(int) 14 => '1519882719308',
		(int) 15 => '1519884783509',
		(int) 16 => '1562582212394'
	),
	'criterion' => array(
		(int) 0 => '',
		(int) 1 => '',
		(int) 2 => '',
		(int) 3 => '',
		(int) 4 => '',
		(int) 5 => '',
		(int) 6 => '',
		(int) 7 => '',
		(int) 8 => '',
		(int) 9 => '',
		(int) 10 => '',
		(int) 11 => '',
		(int) 12 => '',
		(int) 13 => '',
		(int) 14 => '',
		(int) 15 => '',
		(int) 16 => ''
	),
	'type_criterion' => array(
		(int) 0 => '',
		(int) 1 => '',
		(int) 2 => '',
		(int) 3 => '',
		(int) 4 => '',
		(int) 5 => '',
		(int) 6 => '',
		(int) 7 => '',
		(int) 8 => '',
		(int) 9 => '',
		(int) 10 => '',
		(int) 11 => '',
		(int) 12 => '',
		(int) 13 => '',
		(int) 14 => '',
		(int) 15 => '',
		(int) 16 => ''
	),
	'image_gridline' => 'http://ischool.sg/beta-z/img/img_canvas/P4.FR.JM.17101680-Q.png',
	'code_gridline' => 'http://ischool.sg/beta-z/img/img_canvas/P4.FR.JM.17101680-GQ3.png',
	'level' => '',
	'topic_id' => '',
	'source' => '',
	'question_code' => 'P4.FR.JM.17101680-A4',
	'tag' => '',
	'mark' => '',
	'text_working' => '["","","","","","","","","","","","","","","","",""]',
	'original_solution' => 'Number of intervals = 6<br /> 1 interval &rarr; <span class="frac"><sup>1</sup><sub>2</sub></span> &divide; 6 = <span class="frac"><sup>1</sup><sub>12</sub></span><br /> <br /> Y <br /> = 1 <span class="frac"><sup>1</sup><sub>2</sub></span> + 4 x <span class="frac"><sup>1</sup><sub>12</sub></span><br /> = 1 <span class="frac"><sup>6</sup><sub>12</sub></span> + <span class="frac"><sup>4</sup><sub>12</sub></span><br /> = 1 <span class="frac"><sup>10</sup><sub>12</sub></span><br /> = 1 <span class="frac"><sup>5</sup><sub>6</sub></span><br /> <br /> Answer(s): 1 <span class="frac"><sup>5</sup><sub>6</sub></span>',
	'delete_by' => null,
	'delete_date' => null
)
$Array1 = object(Array1) {
	table => 'array1s'
	validate => array()
	useDbConfig => 'default'
	useTable => 'array1s'
	id => '97'
	data => array()
	schemaName => 'ischoolb_orgi'
	primaryKey => 'id'
	validationErrors => array()
	validationDomain => null
	tablePrefix => ''
	plugin => null
	name => 'Array1'
	alias => 'Array1'
	tableToModel => array(
		'array1s' => 'Array1'
	)
	cacheQueries => false
	belongsTo => array()
	hasOne => array()
	hasMany => array()
	hasAndBelongsToMany => array()
	actsAs => null
	Behaviors => object(BehaviorCollection) {}
	whitelist => array()
	cacheSources => true
	findQueryType => null
	recursive => (int) 1
	order => null
	virtualFields => array()
	__backAssociation => array()
	__backInnerAssociation => array()
	__backOriginalAssociation => array()
	__backContainableAssociation => array()
	__safeUpdateMode => false
	useConsistentAfterFind => true
	findMethods => array(
		'all' => true,
		'first' => true,
		'count' => true,
		'neighbors' => true,
		'list' => true,
		'threaded' => true
	)
	[protected] _schema => array(
		'id' => array(
			[maximum depth reached]
		),
		'name' => array(
			[maximum depth reached]
		),
		'content' => array(
			[maximum depth reached]
		),
		'note' => array(
			[maximum depth reached]
		),
		'created' => array(
			[maximum depth reached]
		),
		'modified' => array(
			[maximum depth reached]
		)
	)
	[protected] _associationKeys => array(
		'belongsTo' => array(
			[maximum depth reached]
		),
		'hasOne' => array(
			[maximum depth reached]
		),
		'hasMany' => array(
			[maximum depth reached]
		),
		'hasAndBelongsToMany' => array(
			[maximum depth reached]
		)
	)
	[protected] _associations => array(
		(int) 0 => 'belongsTo',
		(int) 1 => 'hasOne',
		(int) 2 => 'hasMany',
		(int) 3 => 'hasAndBelongsToMany'
	)
	[protected] _insertID => null
	[protected] _sourceConfigured => true
	[protected] _eventManager => object(CakeEventManager) {}
	[protected] _validator => null
}
$Prime = object(AppModel) {
	useDbConfig => 'default'
	useTable => 'primes'
	id => false
	data => array()
	schemaName => null
	table => 'primes'
	primaryKey => 'id'
	validate => array()
	validationErrors => array()
	validationDomain => null
	plugin => null
	name => 'Prime'
	alias => 'Prime'
	tableToModel => array(
		'primes' => 'Prime'
	)
	cacheQueries => false
	belongsTo => array()
	hasOne => array()
	hasMany => array()
	hasAndBelongsToMany => array()
	actsAs => null
	Behaviors => object(BehaviorCollection) {}
	whitelist => array()
	cacheSources => true
	findQueryType => null
	recursive => (int) 1
	order => null
	virtualFields => array()
	__backAssociation => array()
	__backInnerAssociation => array()
	__backOriginalAssociation => array()
	__backContainableAssociation => array()
	__safeUpdateMode => false
	useConsistentAfterFind => true
	findMethods => array(
		'all' => true,
		'first' => true,
		'count' => true,
		'neighbors' => true,
		'list' => true,
		'threaded' => true
	)
	[protected] _schema => null
	[protected] _associationKeys => array(
		'belongsTo' => array(
			[maximum depth reached]
		),
		'hasOne' => array(
			[maximum depth reached]
		),
		'hasMany' => array(
			[maximum depth reached]
		),
		'hasAndBelongsToMany' => array(
			[maximum depth reached]
		)
	)
	[protected] _associations => array(
		(int) 0 => 'belongsTo',
		(int) 1 => 'hasOne',
		(int) 2 => 'hasMany',
		(int) 3 => 'hasAndBelongsToMany'
	)
	[protected] _insertID => null
	[protected] _sourceConfigured => false
	[protected] _eventManager => null
	[protected] _validator => null
}
$answer_fix = '$(n0)$(dd2)														     														     														     														     														     														     														     														     														     														     														     														     														     														     														     														     														     														     														     														     														     														     														     '
$count_crition = (int) 1
$count_array_break = (int) 0
$count_variable_nnt = (int) 0
$message_nnt = ''
$field = 'time_value'
$array_get = array(
	(int) 0 => 'n0',
	(int) 3 => 'f1',
	(int) 4 => 'n6',
	(int) 6 => 'nn2',
	(int) 2 => 'Y',
	(int) 5 => 'f1',
	(int) 1 => '(n1)'
)
$tempt = array(
	(int) 0 => '1/2'
)
$list_name_array = array(
	(int) 0 => 'E'
)
$list_array_item = array(
	'Y' => array(
		'listArray' => array(
			(int) 0 => 'A',
			(int) 1 => 'B',
			(int) 2 => 'C',
			(int) 3 => 'D',
			(int) 4 => 'E',
			(int) 5 => 'F',
			(int) 6 => 'G',
			(int) 7 => 'H',
			(int) 8 => 'J',
			(int) 9 => 'K',
			(int) 10 => 'L',
			(int) 11 => 'M',
			(int) 12 => 'N',
			(int) 13 => 'P',
			(int) 14 => 'Q',
			(int) 15 => 'R',
			(int) 16 => 'S',
			(int) 17 => 'T',
			(int) 18 => 'U',
			(int) 19 => 'V',
			(int) 20 => 'W',
			(int) 21 => 'X',
			(int) 22 => 'Y',
			(int) 23 => 'Z'
		),
		'keyArray' => (int) 4,
		'manyArray' => '0',
		'capitalize' => '1'
	),
	'(Z)' => array(
		'listArray' => array(
			(int) 0 => 'A',
			(int) 1 => 'B',
			(int) 2 => 'C',
			(int) 3 => 'D',
			(int) 4 => 'E',
			(int) 5 => 'F',
			(int) 6 => 'G',
			(int) 7 => 'H',
			(int) 8 => 'J',
			(int) 9 => 'K',
			(int) 10 => 'L',
			(int) 11 => 'M',
			(int) 12 => 'N',
			(int) 13 => 'P',
			(int) 14 => 'Q',
			(int) 15 => 'R',
			(int) 16 => 'S',
			(int) 17 => 'T',
			(int) 18 => 'U',
			(int) 19 => 'V',
			(int) 20 => 'W',
			(int) 21 => 'X',
			(int) 22 => 'Y',
			(int) 23 => 'Z'
		),
		'keyArray' => (int) 5,
		'manyArray' => '0',
		'capitalize' => '1'
	)
)
$list_italic = array()
$array_variable = object(stdClass) {
	1512367461051 => object(stdClass) {}
	1512367828542 => object(stdClass) {}
	1512367976807 => object(stdClass) {}
	1512368773969 => object(stdClass) {}
	1519786643529 => object(stdClass) {}
}
$question_content = 'In the number line, what is the value of $(Y)?<br /> Express your answer as a mixed number in its simplest form.<br /><br />$(Z) = $(f2)'
$solution_step = 'Number of intervals = $(n6)<br /><br />6 intervals&nbsp;&rarr;&nbsp;$(f2) - $(n0) = $(f1)<br />1 interval &rarr; $(f1) &divide; $(n6) = $(f1) x $(in6) = $(f3)<br /><br />$(Y)<br />= $(n0)&nbsp;+ $(nn2) x $(f3)<br />= $(n0) + $(d2)<br />= $(n0) + $(dd2)<br />= $(n0)$(dd2)<br /><br />Answer(s): $(n0)$(dd2)'
$clone_answer = '$(n0)$(dd2)														     														     														     														     														     														     														     														     														     														     														     														     														     														     														     														     														     														     														     														     														     														     														     '
$formula = array(
	(int) 0 => '0+1=1',
	(int) 1 => '1+1=2',
	(int) 2 => 'array_get_next_loop(E)=F',
	(int) 3 => 'do_fraction(+:0,1/2)=$(f2)',
	(int) 4 => 'print_fraction(1,6)=$(in6)',
	(int) 5 => 'do_fraction(*:1/2,$(in6))=$(f3)',
	(int) 6 => 'do_fraction(*:$(f3),2)=$(d2)',
	(int) 7 => 'get_denominator($(d2))=$(dm)',
	(int) 8 => 'print_fraction($(dm),$(dm))=$(fn)',
	(int) 9 => 'share_same_denominator(1:$(f2),$(fn))=$(d1)',
	(int) 10 => 'get_numerator($(fn))=$(nm1)',
	(int) 11 => 'get_numerator($(d2))=$(nm2)',
	(int) 12 => '$(nm1)+$(nm2)=$(t)',
	(int) 13 => 'print_fraction($(t),$(dm))=$(fa)',
	(int) 14 => 'simplify_fraction($(fa))=$(dd4)',
	(int) 15 => 'change_mixed_number_to_improper($(dd4))=$(dn)',
	(int) 16 => 'simplify_fraction($(d2))=$(dd2)'
)
$formula_1 = array(
	(int) 0 => '$(n0) + 1 = $(n1)',
	(int) 1 => '$(n1) + 1 = $(n2)',
	(int) 2 => 'array_get_next_loop($(Y))=$(Z) ',
	(int) 3 => 'do_fraction(+:$(n0),$(f1))=$(f2) ',
	(int) 4 => 'print_fraction(1,$(n6))=$(in6) ',
	(int) 5 => 'do_fraction(*:$(f1),$(in6))=$(f3) ',
	(int) 6 => 'do_fraction(*:$(f3),$(nn2))=$(d2) ',
	(int) 7 => 'get_denominator($(d2))=$(dm) ',
	(int) 8 => 'print_fraction($(dm),$(dm))=$(fn) ',
	(int) 9 => 'share_same_denominator(1:$(f2),$(fn))=$(d1) ',
	(int) 10 => 'get_numerator($(fn))=$(nm1) ',
	(int) 11 => 'get_numerator($(d2))=$(nm2) ',
	(int) 12 => '$(nm1) + $(nm2) = $(t)',
	(int) 13 => 'print_fraction($(t),$(dm))=$(fa) ',
	(int) 14 => 'simplify_fraction($(fa))=$(dd4) ',
	(int) 15 => 'change_mixed_number_to_improper($(dd4))=$(dn) ',
	(int) 16 => 'simplify_fraction($(d2))=$(dd2) '
)
$criterion = array(
	(int) 0 => '',
	(int) 1 => '',
	(int) 2 => '',
	(int) 3 => '',
	(int) 4 => '',
	(int) 5 => '',
	(int) 6 => '',
	(int) 7 => '',
	(int) 8 => '',
	(int) 9 => '',
	(int) 10 => '',
	(int) 11 => '',
	(int) 12 => '',
	(int) 13 => '',
	(int) 14 => '',
	(int) 15 => '',
	(int) 16 => ''
)
$type_criterion = array(
	(int) 0 => '',
	(int) 1 => '',
	(int) 2 => '',
	(int) 3 => '',
	(int) 4 => '',
	(int) 5 => '',
	(int) 6 => '',
	(int) 7 => '',
	(int) 8 => '',
	(int) 9 => '',
	(int) 10 => '',
	(int) 11 => '',
	(int) 12 => '',
	(int) 13 => '',
	(int) 14 => '',
	(int) 15 => '',
	(int) 16 => ''
)
$time_value = array(
	(int) 0 => '1512367674329',
	(int) 1 => '1512367682985',
	(int) 2 => '1512367709715',
	(int) 3 => '1512367804440',
	(int) 4 => '1512367916951',
	(int) 5 => '1512368215070',
	(int) 6 => '1512368215965',
	(int) 7 => '1519884254317',
	(int) 8 => '1519884267836',
	(int) 9 => '1512368294610',
	(int) 10 => '1512368314402',
	(int) 11 => '1519884586501',
	(int) 12 => '1519884596768',
	(int) 13 => '1519884607788',
	(int) 14 => '1519882719308',
	(int) 15 => '1519884783509',
	(int) 16 => '1562582212394'
)
$k = '1519786643529'
$v = object(stdClass) {
	cate => 'fraction'
	name => 'f1'
	attr => object(stdClass) {}
	checkboxFraction => '1'
	range => object(stdClass) {}
}
$mixednumber_session = array(
	(int) 0 => 'f1'
)
$array_system = array(
	(int) 0 => 'A',
	(int) 1 => 'B',
	(int) 2 => 'C',
	(int) 3 => 'D',
	(int) 4 => 'E',
	(int) 5 => 'F',
	(int) 6 => 'G',
	(int) 7 => 'H',
	(int) 8 => 'J',
	(int) 9 => 'K',
	(int) 10 => 'L',
	(int) 11 => 'M',
	(int) 12 => 'N',
	(int) 13 => 'P',
	(int) 14 => 'Q',
	(int) 15 => 'R',
	(int) 16 => 'S',
	(int) 17 => 'T',
	(int) 18 => 'U',
	(int) 19 => 'V',
	(int) 20 => 'W',
	(int) 21 => 'X',
	(int) 22 => 'Y',
	(int) 23 => 'Z'
)
$dem_array_trung = (int) 1
$value_rand_check = (int) 4
$value_check = 'E'
$tempt_k = (int) 0
$tempt_v = '1/2'
$check_who_nnt = (int) 0
$from = '2'
$to = '2'
$result_rand_frac = '1/2'
$findme = '/'
$search_frac = (int) 1
$frac_show = array(
	(int) 0 => '1',
	(int) 1 => '2'
)
$reduce_to_lowest = array(
	(int) 0 => (int) 1,
	(int) 1 => (int) 2
)
$arr_variable = array(
	'n0' => (int) 0,
	'n6' => (int) 6,
	'nn2' => (int) 2,
	'Y' => 'E',
	'f1' => '1/2',
	'(n1)' => (int) 1,
	'(n2)' => (int) 2,
	'(Z)' => 'F'
)
$variable_k = '(Z)'
$variable_v = 'F'
$formula_k = (int) 3
$formula_v = 'do_fraction(+:0,1/2)=$(f2)'
$criterion_k = (int) 16
$criterion_v = ''
$type_criterion_k = (int) 16
$type_criterion_v = ''
$variable_show = array(
	'n0' => (int) 0,
	'n6' => (int) 6,
	'nn2' => (int) 2,
	'Y' => 'E',
	'f1' => '1/2'
)
$start = 'do_fraction('
$end = ')'
$array_mixed_nnt = array(
	(int) 3 => 'yes',
	(int) 5 => 'yes'
)
$check_changes = 'simplify_fraction($(d2))=$(dd2)'
$criterion_continue = '2)=$(f2)'
$criterion_back = '(f2)'
$get_between = '+:0,1/2'
$bieuthuc = array(
	(int) 0 => 'do_fraction(+:0,1/2)',
	(int) 1 => '(f2)'
)
$substr_pos = 'change_decimal_to_fraction'
$get_numerator = false
$get_whole_number_nnt = false
$pos = false
$giatri = ''
$substr_simplify_frac = 'simplify_fraction'
$simplify_frac = false
$substr_simplify_ratio = 'simplify_ratio'
$simplify_ratio = false
$substr_get_element_of_ratio = 'get_element'
$get_element_of_ratio = false
$substr_numberto2decimal = 'change_number_to_2dp'
$change_to_2dp = false
$substr_digit_5_0 = 'change_to_2dp_with_5_or_0'
$change_to_2dp_5_or_0 = false
$substr_mixed_num = 'change_improper_to_mixed_number'
$mixed_num = false
$substr_mixed_to_improper = 'change_mixed_number_to_improper'
$mixed_to_improper = false
$substr_invert_fraction = 'invert_fraction'
$invert_fraction = false
$substr_get_same_numerator = 'share_same_numerator'
$get_same_numerator = false
$substr_get_same_denominator = 'share_same_denominator'
$get_same_denominator = false
$substr_reduce_into_ratio = 'simplify_any_into_ratio'
$reduce_into_ratio = false
$substr_multiply_subscript = 'multiply_ratio_subscript'
$multiply_subscript = false
$substr_assign = 'assign'
$assign = false
$substr_is_12_hour_time_am_pm = 'get_12_hour_time_am_pm'
$is_12_hour_time_am_pm = false
$substr_is_2400_hour_time = 'get_2400_hour_time'
$is_2400_hour_time = false
$substr_add_or_minus_time = 'add_or_minus_min_or_s'
$add_or_minus_time = false
$substr_change_percentage_to_frac = 'change_percentage_to_frac'
$change_percentage_to_frac = false
$substr_round_2_decimal = 'round_2_decimal_place'
$round_2_decimal_place = false
$substr_round_1_decimal = 'round_1_decimal_place'
$round_1_decimal_place = false
$substr_get_quotient = 'get_quotient'
$get_quotient = false
$substr_get_remainder = 'get_remainder'
$get_remainder = false
$substr_change_min_to_hour_min = 'change_min_to_h_min'
$change_min_to_hour_min = false
$substr_change_h_min_to_min = 'change_h_min_to_min'
$change_h_min_to_min = false
$substr_carry_1 = 'carry_1_from_mixed_number'
$get_carry_1 = false
$change_d_or_p_to_fraction = 'change_to_unsimplied_fraction'
$get_change_d_or_p_to_fraction = false
$round_off_to_nearest_ten = 'round_off_to_nearest_ten'
$get_round_off_to_nearest_ten = false
$round_off_to_nearest_hundred = 'round_off_to_nearest_hundred'
$get_round_off_to_nearest_hundred = false
$round_off_to_nearest_thousand = 'round_off_to_nearest_thousand'
$get_round_off_to_nearest_thousand = false
$change_12_to_24 = 'change_12h_to_24h'
$get_12_to_24 = false
$change_24_to_12 = 'change_24h_to_12h'
$get_24_to_12 = false
$get_factors = 'get_factors'
$get_factors_nnt = false
$get_common_factors = 'get_common_factors'
$get_common_factors_nnt = false
$get_multiples = 'get_multiples'
$get_multiples_23916 = false
$get_add_or_minus_multiples = 'add_or_minus_multiples'
$add_or_minus_multiples_23916 = false
$get_common_numbers = 'get_common_numbers'
$get_common_numbers_240916 = false
$substr_array_singular = 'array_singular'
$array_singular_101016 = false
$substr_array_plural = 'array_plural'
$array_plural_101016 = false
$substr_print_fraction = 'print_fraction'
$print_fraction_101016 = false
$substr_array_capitalize = 'array_capitalize'
$array_capitalize_101016 = false
$substr_array_get_words = 'array_get_words'
$array_get_words_31316 = false
$substr_array_get_1st_letter = 'array_get_1st_letter'
$array_array_get_1st_letter = false
$substr_array_get_next_loop = 'array_get_next_loop'
$array_get_next_loop = false
$substr_array_get_next_break = 'array_get_next_break'
$array_get_next_break = false
$substr_multiply_fraction = 'do_fraction'
$array_multiply_fraction = (int) 0
$substr_change_to_italic = 'change_to_italic'
$array_change_to_italic = false
$key_a = 'Y'
$keyArray = (int) 5
$count_check = array(
	(int) 0 => '+',
	(int) 1 => '0,1/2'
)
$arr_caculoid = array(
	(int) 0 => '+',
	(int) 1 => '-',
	(int) 2 => '*',
	(int) 3 => '/'
)
$two_fraction = array(
	(int) 0 => '0',
	(int) 1 => '1/2'
)
$findme2 = '.'
$search_tu = false
$search_tu2 = false
$search_mau = (int) 1
$search_mau2 = false
$tuOne = '0'
$mauOne = (int) 1
$split_mau = array(
	(int) 0 => '1',
	(int) 1 => '2'
)
$tuTwo = '1'
$mauTwo = '2'
$k1 = (int) 16
$v1 = 'simplify_fraction($(d2))=$(dd2)'
CommonComponent::generateAdvClone() - APP/Controller/Component/CommonComponent.php, line 4563
ClonesController::index2() - APP/Controller/ClonesController.php, line 2226
ReflectionMethod::invokeArgs() - [internal], line ??
Controller::invokeAction() - CORE/Cake/Controller/Controller.php, line 490
Dispatcher::_invoke() - CORE/Cake/Routing/Dispatcher.php, line 193
Dispatcher::dispatch() - CORE/Cake/Routing/Dispatcher.php, line 167
[main] - APP/webroot/index.php, line 119

Warning (2): Division by zero [APP/Controller/Component/CommonComponent.php, line 4563]
Code Context
                                        
                                    }
                                    if($tuMain%$mauMain === 0)
$clone = array(
	'id' => '4124',
	'chart' => '',
	'question_id' => '34867',
	'clone_type' => '1',
	'phpfile' => null,
	'clone_symbol' => null,
	'clone_content' => 'In the number line, what is the value of $(Y)?<br /> Express your answer as a mixed number in its simplest form.<br /><br />$(Z) = $(f2)',
	'clone_solution_step' => 'Number of intervals = $(n6)<br /><br />6 intervals&nbsp;&rarr;&nbsp;$(f2) - $(n0) = $(f1)<br />1 interval &rarr; $(f1) &divide; $(n6) = $(f1) x $(in6) = $(f3)<br /><br />$(Y)<br />= $(n0)&nbsp;+ $(nn2) x $(f3)<br />= $(n0) + $(d2)<br />= $(n0) + $(dd2)<br />= $(n0)$(dd2)<br /><br />Answer(s): $(n0)$(dd2)',
	'clone_answer' => '0$(dd2)														     														     														     														     														     														     														     														     														     														     														     														     														     														     														     														     														     														     														     														     														     														     														     ',
	'array' => object(stdClass) {
		1512367461051 => object(stdClass) {}
		1512367828542 => object(stdClass) {}
		1512367976807 => object(stdClass) {}
		1512368773969 => object(stdClass) {}
		1519786643529 => object(stdClass) {}
	},
	'clone_image' => null,
	'clone_solution_step_image' => null,
	'clone_answer_image' => null,
	'status' => true,
	'created' => '2017-12-04 14:35:48',
	'modified' => '2019-07-08 18:47:34',
	'original_question' => '<span style="color: #0000ff;">5 interval</span> In the number line, what is the value of Y?<br /> Express your answer as a mixed number in its simplest form.',
	'formula' => array(
		(int) 0 => '$(n0) + 1 = $(n1)',
		(int) 1 => '$(n1) + 1 = $(n2)',
		(int) 2 => 'array_get_next_loop($(Y))=$(Z) ',
		(int) 3 => 'do_fraction(+:$(n0),$(f1))=$(f2) ',
		(int) 4 => 'print_fraction(1,$(n6))=$(in6) ',
		(int) 5 => 'do_fraction(*:$(f1),$(in6))=$(f3) ',
		(int) 6 => 'do_fraction(*:$(f3),$(nn2))=$(d2) ',
		(int) 7 => 'get_denominator($(d2))=$(dm) ',
		(int) 8 => 'print_fraction($(dm),$(dm))=$(fn) ',
		(int) 9 => 'share_same_denominator(1:$(f2),$(fn))=$(d1) ',
		(int) 10 => 'get_numerator($(fn))=$(nm1) ',
		(int) 11 => 'get_numerator($(d2))=$(nm2) ',
		(int) 12 => '$(nm1) + $(nm2) = $(t)',
		(int) 13 => 'print_fraction($(t),$(dm))=$(fa) ',
		(int) 14 => 'simplify_fraction($(fa))=$(dd4) ',
		(int) 15 => 'change_mixed_number_to_improper($(dd4))=$(dn) ',
		(int) 16 => 'simplify_fraction($(d2))=$(dd2) '
	),
	'time_value' => array(
		(int) 0 => '1512367674329',
		(int) 1 => '1512367682985',
		(int) 2 => '1512367709715',
		(int) 3 => '1512367804440',
		(int) 4 => '1512367916951',
		(int) 5 => '1512368215070',
		(int) 6 => '1512368215965',
		(int) 7 => '1519884254317',
		(int) 8 => '1519884267836',
		(int) 9 => '1512368294610',
		(int) 10 => '1512368314402',
		(int) 11 => '1519884586501',
		(int) 12 => '1519884596768',
		(int) 13 => '1519884607788',
		(int) 14 => '1519882719308',
		(int) 15 => '1519884783509',
		(int) 16 => '1562582212394'
	),
	'criterion' => array(
		(int) 0 => '',
		(int) 1 => '',
		(int) 2 => '',
		(int) 3 => '',
		(int) 4 => '',
		(int) 5 => '',
		(int) 6 => '',
		(int) 7 => '',
		(int) 8 => '',
		(int) 9 => '',
		(int) 10 => '',
		(int) 11 => '',
		(int) 12 => '',
		(int) 13 => '',
		(int) 14 => '',
		(int) 15 => '',
		(int) 16 => ''
	),
	'type_criterion' => array(
		(int) 0 => '',
		(int) 1 => '',
		(int) 2 => '',
		(int) 3 => '',
		(int) 4 => '',
		(int) 5 => '',
		(int) 6 => '',
		(int) 7 => '',
		(int) 8 => '',
		(int) 9 => '',
		(int) 10 => '',
		(int) 11 => '',
		(int) 12 => '',
		(int) 13 => '',
		(int) 14 => '',
		(int) 15 => '',
		(int) 16 => ''
	),
	'image_gridline' => 'http://ischool.sg/beta-z/img/img_canvas/P4.FR.JM.17101680-Q.png',
	'code_gridline' => 'http://ischool.sg/beta-z/img/img_canvas/P4.FR.JM.17101680-GQ3.png',
	'level' => '',
	'topic_id' => '',
	'source' => '',
	'question_code' => 'P4.FR.JM.17101680-A4',
	'tag' => '',
	'mark' => '',
	'text_working' => '["","","","","","","","","","","","","","","","",""]',
	'original_solution' => 'Number of intervals = 6<br /> 1 interval &rarr; <span class="frac"><sup>1</sup><sub>2</sub></span> &divide; 6 = <span class="frac"><sup>1</sup><sub>12</sub></span><br /> <br /> Y <br /> = 1 <span class="frac"><sup>1</sup><sub>2</sub></span> + 4 x <span class="frac"><sup>1</sup><sub>12</sub></span><br /> = 1 <span class="frac"><sup>6</sup><sub>12</sub></span> + <span class="frac"><sup>4</sup><sub>12</sub></span><br /> = 1 <span class="frac"><sup>10</sup><sub>12</sub></span><br /> = 1 <span class="frac"><sup>5</sup><sub>6</sub></span><br /> <br /> Answer(s): 1 <span class="frac"><sup>5</sup><sub>6</sub></span>',
	'delete_by' => null,
	'delete_date' => null
)
$Array1 = object(Array1) {
	table => 'array1s'
	validate => array()
	useDbConfig => 'default'
	useTable => 'array1s'
	id => '97'
	data => array()
	schemaName => 'ischoolb_orgi'
	primaryKey => 'id'
	validationErrors => array()
	validationDomain => null
	tablePrefix => ''
	plugin => null
	name => 'Array1'
	alias => 'Array1'
	tableToModel => array(
		'array1s' => 'Array1'
	)
	cacheQueries => false
	belongsTo => array()
	hasOne => array()
	hasMany => array()
	hasAndBelongsToMany => array()
	actsAs => null
	Behaviors => object(BehaviorCollection) {}
	whitelist => array()
	cacheSources => true
	findQueryType => null
	recursive => (int) 1
	order => null
	virtualFields => array()
	__backAssociation => array()
	__backInnerAssociation => array()
	__backOriginalAssociation => array()
	__backContainableAssociation => array()
	__safeUpdateMode => false
	useConsistentAfterFind => true
	findMethods => array(
		'all' => true,
		'first' => true,
		'count' => true,
		'neighbors' => true,
		'list' => true,
		'threaded' => true
	)
	[protected] _schema => array(
		'id' => array(
			[maximum depth reached]
		),
		'name' => array(
			[maximum depth reached]
		),
		'content' => array(
			[maximum depth reached]
		),
		'note' => array(
			[maximum depth reached]
		),
		'created' => array(
			[maximum depth reached]
		),
		'modified' => array(
			[maximum depth reached]
		)
	)
	[protected] _associationKeys => array(
		'belongsTo' => array(
			[maximum depth reached]
		),
		'hasOne' => array(
			[maximum depth reached]
		),
		'hasMany' => array(
			[maximum depth reached]
		),
		'hasAndBelongsToMany' => array(
			[maximum depth reached]
		)
	)
	[protected] _associations => array(
		(int) 0 => 'belongsTo',
		(int) 1 => 'hasOne',
		(int) 2 => 'hasMany',
		(int) 3 => 'hasAndBelongsToMany'
	)
	[protected] _insertID => null
	[protected] _sourceConfigured => true
	[protected] _eventManager => object(CakeEventManager) {}
	[protected] _validator => null
}
$Prime = object(AppModel) {
	useDbConfig => 'default'
	useTable => 'primes'
	id => false
	data => array()
	schemaName => null
	table => 'primes'
	primaryKey => 'id'
	validate => array()
	validationErrors => array()
	validationDomain => null
	plugin => null
	name => 'Prime'
	alias => 'Prime'
	tableToModel => array(
		'primes' => 'Prime'
	)
	cacheQueries => false
	belongsTo => array()
	hasOne => array()
	hasMany => array()
	hasAndBelongsToMany => array()
	actsAs => null
	Behaviors => object(BehaviorCollection) {}
	whitelist => array()
	cacheSources => true
	findQueryType => null
	recursive => (int) 1
	order => null
	virtualFields => array()
	__backAssociation => array()
	__backInnerAssociation => array()
	__backOriginalAssociation => array()
	__backContainableAssociation => array()
	__safeUpdateMode => false
	useConsistentAfterFind => true
	findMethods => array(
		'all' => true,
		'first' => true,
		'count' => true,
		'neighbors' => true,
		'list' => true,
		'threaded' => true
	)
	[protected] _schema => null
	[protected] _associationKeys => array(
		'belongsTo' => array(
			[maximum depth reached]
		),
		'hasOne' => array(
			[maximum depth reached]
		),
		'hasMany' => array(
			[maximum depth reached]
		),
		'hasAndBelongsToMany' => array(
			[maximum depth reached]
		)
	)
	[protected] _associations => array(
		(int) 0 => 'belongsTo',
		(int) 1 => 'hasOne',
		(int) 2 => 'hasMany',
		(int) 3 => 'hasAndBelongsToMany'
	)
	[protected] _insertID => null
	[protected] _sourceConfigured => false
	[protected] _eventManager => null
	[protected] _validator => null
}
$answer_fix = '$(n0)$(dd2)														     														     														     														     														     														     														     														     														     														     														     														     														     														     														     														     														     														     														     														     														     														     														     '
$count_crition = (int) 1
$count_array_break = (int) 0
$count_variable_nnt = (int) 0
$message_nnt = ''
$field = 'time_value'
$array_get = array(
	(int) 0 => 'n0',
	(int) 3 => 'f1',
	(int) 4 => 'n6',
	(int) 6 => 'nn2',
	(int) 2 => 'Y',
	(int) 5 => 'f1',
	(int) 1 => '(n1)'
)
$tempt = array(
	(int) 0 => '1/2'
)
$list_name_array = array(
	(int) 0 => 'E'
)
$list_array_item = array(
	'Y' => array(
		'listArray' => array(
			(int) 0 => 'A',
			(int) 1 => 'B',
			(int) 2 => 'C',
			(int) 3 => 'D',
			(int) 4 => 'E',
			(int) 5 => 'F',
			(int) 6 => 'G',
			(int) 7 => 'H',
			(int) 8 => 'J',
			(int) 9 => 'K',
			(int) 10 => 'L',
			(int) 11 => 'M',
			(int) 12 => 'N',
			(int) 13 => 'P',
			(int) 14 => 'Q',
			(int) 15 => 'R',
			(int) 16 => 'S',
			(int) 17 => 'T',
			(int) 18 => 'U',
			(int) 19 => 'V',
			(int) 20 => 'W',
			(int) 21 => 'X',
			(int) 22 => 'Y',
			(int) 23 => 'Z'
		),
		'keyArray' => (int) 4,
		'manyArray' => '0',
		'capitalize' => '1'
	),
	'(Z)' => array(
		'listArray' => array(
			(int) 0 => 'A',
			(int) 1 => 'B',
			(int) 2 => 'C',
			(int) 3 => 'D',
			(int) 4 => 'E',
			(int) 5 => 'F',
			(int) 6 => 'G',
			(int) 7 => 'H',
			(int) 8 => 'J',
			(int) 9 => 'K',
			(int) 10 => 'L',
			(int) 11 => 'M',
			(int) 12 => 'N',
			(int) 13 => 'P',
			(int) 14 => 'Q',
			(int) 15 => 'R',
			(int) 16 => 'S',
			(int) 17 => 'T',
			(int) 18 => 'U',
			(int) 19 => 'V',
			(int) 20 => 'W',
			(int) 21 => 'X',
			(int) 22 => 'Y',
			(int) 23 => 'Z'
		),
		'keyArray' => (int) 5,
		'manyArray' => '0',
		'capitalize' => '1'
	)
)
$list_italic = array()
$array_variable = object(stdClass) {
	1512367461051 => object(stdClass) {}
	1512367828542 => object(stdClass) {}
	1512367976807 => object(stdClass) {}
	1512368773969 => object(stdClass) {}
	1519786643529 => object(stdClass) {}
}
$question_content = 'In the number line, what is the value of $(Y)?<br /> Express your answer as a mixed number in its simplest form.<br /><br />$(Z) = $(f2)'
$solution_step = 'Number of intervals = $(n6)<br /><br />6 intervals&nbsp;&rarr;&nbsp;$(f2) - $(n0) = $(f1)<br />1 interval &rarr; $(f1) &divide; $(n6) = $(f1) x $(in6) = $(f3)<br /><br />$(Y)<br />= $(n0)&nbsp;+ $(nn2) x $(f3)<br />= $(n0) + $(d2)<br />= $(n0) + $(dd2)<br />= $(n0)$(dd2)<br /><br />Answer(s): $(n0)$(dd2)'
$clone_answer = '$(n0)$(dd2)														     														     														     														     														     														     														     														     														     														     														     														     														     														     														     														     														     														     														     														     														     														     														     '
$formula = array(
	(int) 0 => '0+1=1',
	(int) 1 => '1+1=2',
	(int) 2 => 'array_get_next_loop(E)=F',
	(int) 3 => 'do_fraction(+:0,1/2)=$(f2)',
	(int) 4 => 'print_fraction(1,6)=$(in6)',
	(int) 5 => 'do_fraction(*:1/2,$(in6))=$(f3)',
	(int) 6 => 'do_fraction(*:$(f3),2)=$(d2)',
	(int) 7 => 'get_denominator($(d2))=$(dm)',
	(int) 8 => 'print_fraction($(dm),$(dm))=$(fn)',
	(int) 9 => 'share_same_denominator(1:$(f2),$(fn))=$(d1)',
	(int) 10 => 'get_numerator($(fn))=$(nm1)',
	(int) 11 => 'get_numerator($(d2))=$(nm2)',
	(int) 12 => '$(nm1)+$(nm2)=$(t)',
	(int) 13 => 'print_fraction($(t),$(dm))=$(fa)',
	(int) 14 => 'simplify_fraction($(fa))=$(dd4)',
	(int) 15 => 'change_mixed_number_to_improper($(dd4))=$(dn)',
	(int) 16 => 'simplify_fraction($(d2))=$(dd2)'
)
$formula_1 = array(
	(int) 0 => '$(n0) + 1 = $(n1)',
	(int) 1 => '$(n1) + 1 = $(n2)',
	(int) 2 => 'array_get_next_loop($(Y))=$(Z) ',
	(int) 3 => 'do_fraction(+:$(n0),$(f1))=$(f2) ',
	(int) 4 => 'print_fraction(1,$(n6))=$(in6) ',
	(int) 5 => 'do_fraction(*:$(f1),$(in6))=$(f3) ',
	(int) 6 => 'do_fraction(*:$(f3),$(nn2))=$(d2) ',
	(int) 7 => 'get_denominator($(d2))=$(dm) ',
	(int) 8 => 'print_fraction($(dm),$(dm))=$(fn) ',
	(int) 9 => 'share_same_denominator(1:$(f2),$(fn))=$(d1) ',
	(int) 10 => 'get_numerator($(fn))=$(nm1) ',
	(int) 11 => 'get_numerator($(d2))=$(nm2) ',
	(int) 12 => '$(nm1) + $(nm2) = $(t)',
	(int) 13 => 'print_fraction($(t),$(dm))=$(fa) ',
	(int) 14 => 'simplify_fraction($(fa))=$(dd4) ',
	(int) 15 => 'change_mixed_number_to_improper($(dd4))=$(dn) ',
	(int) 16 => 'simplify_fraction($(d2))=$(dd2) '
)
$criterion = array(
	(int) 0 => '',
	(int) 1 => '',
	(int) 2 => '',
	(int) 3 => '',
	(int) 4 => '',
	(int) 5 => '',
	(int) 6 => '',
	(int) 7 => '',
	(int) 8 => '',
	(int) 9 => '',
	(int) 10 => '',
	(int) 11 => '',
	(int) 12 => '',
	(int) 13 => '',
	(int) 14 => '',
	(int) 15 => '',
	(int) 16 => ''
)
$type_criterion = array(
	(int) 0 => '',
	(int) 1 => '',
	(int) 2 => '',
	(int) 3 => '',
	(int) 4 => '',
	(int) 5 => '',
	(int) 6 => '',
	(int) 7 => '',
	(int) 8 => '',
	(int) 9 => '',
	(int) 10 => '',
	(int) 11 => '',
	(int) 12 => '',
	(int) 13 => '',
	(int) 14 => '',
	(int) 15 => '',
	(int) 16 => ''
)
$time_value = array(
	(int) 0 => '1512367674329',
	(int) 1 => '1512367682985',
	(int) 2 => '1512367709715',
	(int) 3 => '1512367804440',
	(int) 4 => '1512367916951',
	(int) 5 => '1512368215070',
	(int) 6 => '1512368215965',
	(int) 7 => '1519884254317',
	(int) 8 => '1519884267836',
	(int) 9 => '1512368294610',
	(int) 10 => '1512368314402',
	(int) 11 => '1519884586501',
	(int) 12 => '1519884596768',
	(int) 13 => '1519884607788',
	(int) 14 => '1519882719308',
	(int) 15 => '1519884783509',
	(int) 16 => '1562582212394'
)
$k = '1519786643529'
$v = object(stdClass) {
	cate => 'fraction'
	name => 'f1'
	attr => object(stdClass) {}
	checkboxFraction => '1'
	range => object(stdClass) {}
}
$mixednumber_session = array(
	(int) 0 => 'f1'
)
$array_system = array(
	(int) 0 => 'A',
	(int) 1 => 'B',
	(int) 2 => 'C',
	(int) 3 => 'D',
	(int) 4 => 'E',
	(int) 5 => 'F',
	(int) 6 => 'G',
	(int) 7 => 'H',
	(int) 8 => 'J',
	(int) 9 => 'K',
	(int) 10 => 'L',
	(int) 11 => 'M',
	(int) 12 => 'N',
	(int) 13 => 'P',
	(int) 14 => 'Q',
	(int) 15 => 'R',
	(int) 16 => 'S',
	(int) 17 => 'T',
	(int) 18 => 'U',
	(int) 19 => 'V',
	(int) 20 => 'W',
	(int) 21 => 'X',
	(int) 22 => 'Y',
	(int) 23 => 'Z'
)
$dem_array_trung = (int) 1
$value_rand_check = (int) 4
$value_check = 'E'
$tempt_k = (int) 0
$tempt_v = '1/2'
$check_who_nnt = (int) 0
$from = '2'
$to = '2'
$result_rand_frac = '1/2'
$findme = '/'
$search_frac = (int) 1
$frac_show = array(
	(int) 0 => '1',
	(int) 1 => '2'
)
$reduce_to_lowest = array(
	(int) 0 => (int) 1,
	(int) 1 => (int) 2
)
$arr_variable = array(
	'n0' => (int) 0,
	'n6' => (int) 6,
	'nn2' => (int) 2,
	'Y' => 'E',
	'f1' => '1/2',
	'(n1)' => (int) 1,
	'(n2)' => (int) 2,
	'(Z)' => 'F'
)
$variable_k = '(Z)'
$variable_v = 'F'
$formula_k = (int) 3
$formula_v = 'do_fraction(+:0,1/2)=$(f2)'
$criterion_k = (int) 16
$criterion_v = ''
$type_criterion_k = (int) 16
$type_criterion_v = ''
$variable_show = array(
	'n0' => (int) 0,
	'n6' => (int) 6,
	'nn2' => (int) 2,
	'Y' => 'E',
	'f1' => '1/2'
)
$start = 'do_fraction('
$end = ')'
$array_mixed_nnt = array(
	(int) 3 => 'yes',
	(int) 5 => 'yes'
)
$check_changes = 'simplify_fraction($(d2))=$(dd2)'
$criterion_continue = '2)=$(f2)'
$criterion_back = '(f2)'
$get_between = '+:0,1/2'
$bieuthuc = array(
	(int) 0 => 'do_fraction(+:0,1/2)',
	(int) 1 => '(f2)'
)
$substr_pos = 'change_decimal_to_fraction'
$get_numerator = false
$get_whole_number_nnt = false
$pos = false
$giatri = ''
$substr_simplify_frac = 'simplify_fraction'
$simplify_frac = false
$substr_simplify_ratio = 'simplify_ratio'
$simplify_ratio = false
$substr_get_element_of_ratio = 'get_element'
$get_element_of_ratio = false
$substr_numberto2decimal = 'change_number_to_2dp'
$change_to_2dp = false
$substr_digit_5_0 = 'change_to_2dp_with_5_or_0'
$change_to_2dp_5_or_0 = false
$substr_mixed_num = 'change_improper_to_mixed_number'
$mixed_num = false
$substr_mixed_to_improper = 'change_mixed_number_to_improper'
$mixed_to_improper = false
$substr_invert_fraction = 'invert_fraction'
$invert_fraction = false
$substr_get_same_numerator = 'share_same_numerator'
$get_same_numerator = false
$substr_get_same_denominator = 'share_same_denominator'
$get_same_denominator = false
$substr_reduce_into_ratio = 'simplify_any_into_ratio'
$reduce_into_ratio = false
$substr_multiply_subscript = 'multiply_ratio_subscript'
$multiply_subscript = false
$substr_assign = 'assign'
$assign = false
$substr_is_12_hour_time_am_pm = 'get_12_hour_time_am_pm'
$is_12_hour_time_am_pm = false
$substr_is_2400_hour_time = 'get_2400_hour_time'
$is_2400_hour_time = false
$substr_add_or_minus_time = 'add_or_minus_min_or_s'
$add_or_minus_time = false
$substr_change_percentage_to_frac = 'change_percentage_to_frac'
$change_percentage_to_frac = false
$substr_round_2_decimal = 'round_2_decimal_place'
$round_2_decimal_place = false
$substr_round_1_decimal = 'round_1_decimal_place'
$round_1_decimal_place = false
$substr_get_quotient = 'get_quotient'
$get_quotient = false
$substr_get_remainder = 'get_remainder'
$get_remainder = false
$substr_change_min_to_hour_min = 'change_min_to_h_min'
$change_min_to_hour_min = false
$substr_change_h_min_to_min = 'change_h_min_to_min'
$change_h_min_to_min = false
$substr_carry_1 = 'carry_1_from_mixed_number'
$get_carry_1 = false
$change_d_or_p_to_fraction = 'change_to_unsimplied_fraction'
$get_change_d_or_p_to_fraction = false
$round_off_to_nearest_ten = 'round_off_to_nearest_ten'
$get_round_off_to_nearest_ten = false
$round_off_to_nearest_hundred = 'round_off_to_nearest_hundred'
$get_round_off_to_nearest_hundred = false
$round_off_to_nearest_thousand = 'round_off_to_nearest_thousand'
$get_round_off_to_nearest_thousand = false
$change_12_to_24 = 'change_12h_to_24h'
$get_12_to_24 = false
$change_24_to_12 = 'change_24h_to_12h'
$get_24_to_12 = false
$get_factors = 'get_factors'
$get_factors_nnt = false
$get_common_factors = 'get_common_factors'
$get_common_factors_nnt = false
$get_multiples = 'get_multiples'
$get_multiples_23916 = false
$get_add_or_minus_multiples = 'add_or_minus_multiples'
$add_or_minus_multiples_23916 = false
$get_common_numbers = 'get_common_numbers'
$get_common_numbers_240916 = false
$substr_array_singular = 'array_singular'
$array_singular_101016 = false
$substr_array_plural = 'array_plural'
$array_plural_101016 = false
$substr_print_fraction = 'print_fraction'
$print_fraction_101016 = false
$substr_array_capitalize = 'array_capitalize'
$array_capitalize_101016 = false
$substr_array_get_words = 'array_get_words'
$array_get_words_31316 = false
$substr_array_get_1st_letter = 'array_get_1st_letter'
$array_array_get_1st_letter = false
$substr_array_get_next_loop = 'array_get_next_loop'
$array_get_next_loop = false
$substr_array_get_next_break = 'array_get_next_break'
$array_get_next_break = false
$substr_multiply_fraction = 'do_fraction'
$array_multiply_fraction = (int) 0
$substr_change_to_italic = 'change_to_italic'
$array_change_to_italic = false
$key_a = 'Y'
$keyArray = (int) 5
$count_check = array(
	(int) 0 => '+',
	(int) 1 => '0,1/2'
)
$arr_caculoid = array(
	(int) 0 => '+',
	(int) 1 => '-',
	(int) 2 => '*',
	(int) 3 => '/'
)
$two_fraction = array(
	(int) 0 => '0',
	(int) 1 => '1/2'
)
$findme2 = '.'
$search_tu = false
$search_tu2 = false
$search_mau = (int) 1
$search_mau2 = false
$tuOne = '0'
$mauOne = (int) 1
$split_mau = array(
	(int) 0 => '1',
	(int) 1 => '2'
)
$tuTwo = '1'
$mauTwo = '2'
$k1 = (int) 16
$v1 = 'simplify_fraction($(d2))=$(dd2)'
CommonComponent::generateAdvClone() - APP/Controller/Component/CommonComponent.php, line 4563
ClonesController::index2() - APP/Controller/ClonesController.php, line 2226
ReflectionMethod::invokeArgs() - [internal], line ??
Controller::invokeAction() - CORE/Cake/Controller/Controller.php, line 490
Dispatcher::_invoke() - CORE/Cake/Routing/Dispatcher.php, line 193
Dispatcher::dispatch() - CORE/Cake/Routing/Dispatcher.php, line 167
[main] - APP/webroot/index.php, line 119

Notice (8): Undefined variable: tuMain [APP/Controller/Component/CommonComponent.php, line 4567]
Code Context
                                        $giatri = $tuMain/$mauMain;
                                    }else{
                                        $giatri = $tuMain.'/'.$mauMain;  
$clone = array(
	'id' => '4124',
	'chart' => '',
	'question_id' => '34867',
	'clone_type' => '1',
	'phpfile' => null,
	'clone_symbol' => null,
	'clone_content' => 'In the number line, what is the value of $(Y)?<br /> Express your answer as a mixed number in its simplest form.<br /><br />$(Z) = $(f2)',
	'clone_solution_step' => 'Number of intervals = $(n6)<br /><br />6 intervals&nbsp;&rarr;&nbsp;$(f2) - $(n0) = $(f1)<br />1 interval &rarr; $(f1) &divide; $(n6) = $(f1) x $(in6) = $(f3)<br /><br />$(Y)<br />= $(n0)&nbsp;+ $(nn2) x $(f3)<br />= $(n0) + $(d2)<br />= $(n0) + $(dd2)<br />= $(n0)$(dd2)<br /><br />Answer(s): $(n0)$(dd2)',
	'clone_answer' => '0$(dd2)														     														     														     														     														     														     														     														     														     														     														     														     														     														     														     														     														     														     														     														     														     														     														     ',
	'array' => object(stdClass) {
		1512367461051 => object(stdClass) {}
		1512367828542 => object(stdClass) {}
		1512367976807 => object(stdClass) {}
		1512368773969 => object(stdClass) {}
		1519786643529 => object(stdClass) {}
	},
	'clone_image' => null,
	'clone_solution_step_image' => null,
	'clone_answer_image' => null,
	'status' => true,
	'created' => '2017-12-04 14:35:48',
	'modified' => '2019-07-08 18:47:34',
	'original_question' => '<span style="color: #0000ff;">5 interval</span> In the number line, what is the value of Y?<br /> Express your answer as a mixed number in its simplest form.',
	'formula' => array(
		(int) 0 => '$(n0) + 1 = $(n1)',
		(int) 1 => '$(n1) + 1 = $(n2)',
		(int) 2 => 'array_get_next_loop($(Y))=$(Z) ',
		(int) 3 => 'do_fraction(+:$(n0),$(f1))=$(f2) ',
		(int) 4 => 'print_fraction(1,$(n6))=$(in6) ',
		(int) 5 => 'do_fraction(*:$(f1),$(in6))=$(f3) ',
		(int) 6 => 'do_fraction(*:$(f3),$(nn2))=$(d2) ',
		(int) 7 => 'get_denominator($(d2))=$(dm) ',
		(int) 8 => 'print_fraction($(dm),$(dm))=$(fn) ',
		(int) 9 => 'share_same_denominator(1:$(f2),$(fn))=$(d1) ',
		(int) 10 => 'get_numerator($(fn))=$(nm1) ',
		(int) 11 => 'get_numerator($(d2))=$(nm2) ',
		(int) 12 => '$(nm1) + $(nm2) = $(t)',
		(int) 13 => 'print_fraction($(t),$(dm))=$(fa) ',
		(int) 14 => 'simplify_fraction($(fa))=$(dd4) ',
		(int) 15 => 'change_mixed_number_to_improper($(dd4))=$(dn) ',
		(int) 16 => 'simplify_fraction($(d2))=$(dd2) '
	),
	'time_value' => array(
		(int) 0 => '1512367674329',
		(int) 1 => '1512367682985',
		(int) 2 => '1512367709715',
		(int) 3 => '1512367804440',
		(int) 4 => '1512367916951',
		(int) 5 => '1512368215070',
		(int) 6 => '1512368215965',
		(int) 7 => '1519884254317',
		(int) 8 => '1519884267836',
		(int) 9 => '1512368294610',
		(int) 10 => '1512368314402',
		(int) 11 => '1519884586501',
		(int) 12 => '1519884596768',
		(int) 13 => '1519884607788',
		(int) 14 => '1519882719308',
		(int) 15 => '1519884783509',
		(int) 16 => '1562582212394'
	),
	'criterion' => array(
		(int) 0 => '',
		(int) 1 => '',
		(int) 2 => '',
		(int) 3 => '',
		(int) 4 => '',
		(int) 5 => '',
		(int) 6 => '',
		(int) 7 => '',
		(int) 8 => '',
		(int) 9 => '',
		(int) 10 => '',
		(int) 11 => '',
		(int) 12 => '',
		(int) 13 => '',
		(int) 14 => '',
		(int) 15 => '',
		(int) 16 => ''
	),
	'type_criterion' => array(
		(int) 0 => '',
		(int) 1 => '',
		(int) 2 => '',
		(int) 3 => '',
		(int) 4 => '',
		(int) 5 => '',
		(int) 6 => '',
		(int) 7 => '',
		(int) 8 => '',
		(int) 9 => '',
		(int) 10 => '',
		(int) 11 => '',
		(int) 12 => '',
		(int) 13 => '',
		(int) 14 => '',
		(int) 15 => '',
		(int) 16 => ''
	),
	'image_gridline' => 'http://ischool.sg/beta-z/img/img_canvas/P4.FR.JM.17101680-Q.png',
	'code_gridline' => 'http://ischool.sg/beta-z/img/img_canvas/P4.FR.JM.17101680-GQ3.png',
	'level' => '',
	'topic_id' => '',
	'source' => '',
	'question_code' => 'P4.FR.JM.17101680-A4',
	'tag' => '',
	'mark' => '',
	'text_working' => '["","","","","","","","","","","","","","","","",""]',
	'original_solution' => 'Number of intervals = 6<br /> 1 interval &rarr; <span class="frac"><sup>1</sup><sub>2</sub></span> &divide; 6 = <span class="frac"><sup>1</sup><sub>12</sub></span><br /> <br /> Y <br /> = 1 <span class="frac"><sup>1</sup><sub>2</sub></span> + 4 x <span class="frac"><sup>1</sup><sub>12</sub></span><br /> = 1 <span class="frac"><sup>6</sup><sub>12</sub></span> + <span class="frac"><sup>4</sup><sub>12</sub></span><br /> = 1 <span class="frac"><sup>10</sup><sub>12</sub></span><br /> = 1 <span class="frac"><sup>5</sup><sub>6</sub></span><br /> <br /> Answer(s): 1 <span class="frac"><sup>5</sup><sub>6</sub></span>',
	'delete_by' => null,
	'delete_date' => null
)
$Array1 = object(Array1) {
	table => 'array1s'
	validate => array()
	useDbConfig => 'default'
	useTable => 'array1s'
	id => '97'
	data => array()
	schemaName => 'ischoolb_orgi'
	primaryKey => 'id'
	validationErrors => array()
	validationDomain => null
	tablePrefix => ''
	plugin => null
	name => 'Array1'
	alias => 'Array1'
	tableToModel => array(
		'array1s' => 'Array1'
	)
	cacheQueries => false
	belongsTo => array()
	hasOne => array()
	hasMany => array()
	hasAndBelongsToMany => array()
	actsAs => null
	Behaviors => object(BehaviorCollection) {}
	whitelist => array()
	cacheSources => true
	findQueryType => null
	recursive => (int) 1
	order => null
	virtualFields => array()
	__backAssociation => array()
	__backInnerAssociation => array()
	__backOriginalAssociation => array()
	__backContainableAssociation => array()
	__safeUpdateMode => false
	useConsistentAfterFind => true
	findMethods => array(
		'all' => true,
		'first' => true,
		'count' => true,
		'neighbors' => true,
		'list' => true,
		'threaded' => true
	)
	[protected] _schema => array(
		'id' => array(
			[maximum depth reached]
		),
		'name' => array(
			[maximum depth reached]
		),
		'content' => array(
			[maximum depth reached]
		),
		'note' => array(
			[maximum depth reached]
		),
		'created' => array(
			[maximum depth reached]
		),
		'modified' => array(
			[maximum depth reached]
		)
	)
	[protected] _associationKeys => array(
		'belongsTo' => array(
			[maximum depth reached]
		),
		'hasOne' => array(
			[maximum depth reached]
		),
		'hasMany' => array(
			[maximum depth reached]
		),
		'hasAndBelongsToMany' => array(
			[maximum depth reached]
		)
	)
	[protected] _associations => array(
		(int) 0 => 'belongsTo',
		(int) 1 => 'hasOne',
		(int) 2 => 'hasMany',
		(int) 3 => 'hasAndBelongsToMany'
	)
	[protected] _insertID => null
	[protected] _sourceConfigured => true
	[protected] _eventManager => object(CakeEventManager) {}
	[protected] _validator => null
}
$Prime = object(AppModel) {
	useDbConfig => 'default'
	useTable => 'primes'
	id => false
	data => array()
	schemaName => null
	table => 'primes'
	primaryKey => 'id'
	validate => array()
	validationErrors => array()
	validationDomain => null
	plugin => null
	name => 'Prime'
	alias => 'Prime'
	tableToModel => array(
		'primes' => 'Prime'
	)
	cacheQueries => false
	belongsTo => array()
	hasOne => array()
	hasMany => array()
	hasAndBelongsToMany => array()
	actsAs => null
	Behaviors => object(BehaviorCollection) {}
	whitelist => array()
	cacheSources => true
	findQueryType => null
	recursive => (int) 1
	order => null
	virtualFields => array()
	__backAssociation => array()
	__backInnerAssociation => array()
	__backOriginalAssociation => array()
	__backContainableAssociation => array()
	__safeUpdateMode => false
	useConsistentAfterFind => true
	findMethods => array(
		'all' => true,
		'first' => true,
		'count' => true,
		'neighbors' => true,
		'list' => true,
		'threaded' => true
	)
	[protected] _schema => null
	[protected] _associationKeys => array(
		'belongsTo' => array(
			[maximum depth reached]
		),
		'hasOne' => array(
			[maximum depth reached]
		),
		'hasMany' => array(
			[maximum depth reached]
		),
		'hasAndBelongsToMany' => array(
			[maximum depth reached]
		)
	)
	[protected] _associations => array(
		(int) 0 => 'belongsTo',
		(int) 1 => 'hasOne',
		(int) 2 => 'hasMany',
		(int) 3 => 'hasAndBelongsToMany'
	)
	[protected] _insertID => null
	[protected] _sourceConfigured => false
	[protected] _eventManager => null
	[protected] _validator => null
}
$answer_fix = '$(n0)$(dd2)														     														     														     														     														     														     														     														     														     														     														     														     														     														     														     														     														     														     														     														     														     														     														     '
$count_crition = (int) 1
$count_array_break = (int) 0
$count_variable_nnt = (int) 0
$message_nnt = ''
$field = 'time_value'
$array_get = array(
	(int) 0 => 'n0',
	(int) 3 => 'f1',
	(int) 4 => 'n6',
	(int) 6 => 'nn2',
	(int) 2 => 'Y',
	(int) 5 => 'f1',
	(int) 1 => '(n1)'
)
$tempt = array(
	(int) 0 => '1/2'
)
$list_name_array = array(
	(int) 0 => 'E'
)
$list_array_item = array(
	'Y' => array(
		'listArray' => array(
			(int) 0 => 'A',
			(int) 1 => 'B',
			(int) 2 => 'C',
			(int) 3 => 'D',
			(int) 4 => 'E',
			(int) 5 => 'F',
			(int) 6 => 'G',
			(int) 7 => 'H',
			(int) 8 => 'J',
			(int) 9 => 'K',
			(int) 10 => 'L',
			(int) 11 => 'M',
			(int) 12 => 'N',
			(int) 13 => 'P',
			(int) 14 => 'Q',
			(int) 15 => 'R',
			(int) 16 => 'S',
			(int) 17 => 'T',
			(int) 18 => 'U',
			(int) 19 => 'V',
			(int) 20 => 'W',
			(int) 21 => 'X',
			(int) 22 => 'Y',
			(int) 23 => 'Z'
		),
		'keyArray' => (int) 4,
		'manyArray' => '0',
		'capitalize' => '1'
	),
	'(Z)' => array(
		'listArray' => array(
			(int) 0 => 'A',
			(int) 1 => 'B',
			(int) 2 => 'C',
			(int) 3 => 'D',
			(int) 4 => 'E',
			(int) 5 => 'F',
			(int) 6 => 'G',
			(int) 7 => 'H',
			(int) 8 => 'J',
			(int) 9 => 'K',
			(int) 10 => 'L',
			(int) 11 => 'M',
			(int) 12 => 'N',
			(int) 13 => 'P',
			(int) 14 => 'Q',
			(int) 15 => 'R',
			(int) 16 => 'S',
			(int) 17 => 'T',
			(int) 18 => 'U',
			(int) 19 => 'V',
			(int) 20 => 'W',
			(int) 21 => 'X',
			(int) 22 => 'Y',
			(int) 23 => 'Z'
		),
		'keyArray' => (int) 5,
		'manyArray' => '0',
		'capitalize' => '1'
	)
)
$list_italic = array()
$array_variable = object(stdClass) {
	1512367461051 => object(stdClass) {}
	1512367828542 => object(stdClass) {}
	1512367976807 => object(stdClass) {}
	1512368773969 => object(stdClass) {}
	1519786643529 => object(stdClass) {}
}
$question_content = 'In the number line, what is the value of $(Y)?<br /> Express your answer as a mixed number in its simplest form.<br /><br />$(Z) = $(f2)'
$solution_step = 'Number of intervals = $(n6)<br /><br />6 intervals&nbsp;&rarr;&nbsp;$(f2) - $(n0) = $(f1)<br />1 interval &rarr; $(f1) &divide; $(n6) = $(f1) x $(in6) = $(f3)<br /><br />$(Y)<br />= $(n0)&nbsp;+ $(nn2) x $(f3)<br />= $(n0) + $(d2)<br />= $(n0) + $(dd2)<br />= $(n0)$(dd2)<br /><br />Answer(s): $(n0)$(dd2)'
$clone_answer = '$(n0)$(dd2)														     														     														     														     														     														     														     														     														     														     														     														     														     														     														     														     														     														     														     														     														     														     														     '
$formula = array(
	(int) 0 => '0+1=1',
	(int) 1 => '1+1=2',
	(int) 2 => 'array_get_next_loop(E)=F',
	(int) 3 => 'do_fraction(+:0,1/2)=$(f2)',
	(int) 4 => 'print_fraction(1,6)=$(in6)',
	(int) 5 => 'do_fraction(*:1/2,$(in6))=$(f3)',
	(int) 6 => 'do_fraction(*:$(f3),2)=$(d2)',
	(int) 7 => 'get_denominator($(d2))=$(dm)',
	(int) 8 => 'print_fraction($(dm),$(dm))=$(fn)',
	(int) 9 => 'share_same_denominator(1:$(f2),$(fn))=$(d1)',
	(int) 10 => 'get_numerator($(fn))=$(nm1)',
	(int) 11 => 'get_numerator($(d2))=$(nm2)',
	(int) 12 => '$(nm1)+$(nm2)=$(t)',
	(int) 13 => 'print_fraction($(t),$(dm))=$(fa)',
	(int) 14 => 'simplify_fraction($(fa))=$(dd4)',
	(int) 15 => 'change_mixed_number_to_improper($(dd4))=$(dn)',
	(int) 16 => 'simplify_fraction($(d2))=$(dd2)'
)
$formula_1 = array(
	(int) 0 => '$(n0) + 1 = $(n1)',
	(int) 1 => '$(n1) + 1 = $(n2)',
	(int) 2 => 'array_get_next_loop($(Y))=$(Z) ',
	(int) 3 => 'do_fraction(+:$(n0),$(f1))=$(f2) ',
	(int) 4 => 'print_fraction(1,$(n6))=$(in6) ',
	(int) 5 => 'do_fraction(*:$(f1),$(in6))=$(f3) ',
	(int) 6 => 'do_fraction(*:$(f3),$(nn2))=$(d2) ',
	(int) 7 => 'get_denominator($(d2))=$(dm) ',
	(int) 8 => 'print_fraction($(dm),$(dm))=$(fn) ',
	(int) 9 => 'share_same_denominator(1:$(f2),$(fn))=$(d1) ',
	(int) 10 => 'get_numerator($(fn))=$(nm1) ',
	(int) 11 => 'get_numerator($(d2))=$(nm2) ',
	(int) 12 => '$(nm1) + $(nm2) = $(t)',
	(int) 13 => 'print_fraction($(t),$(dm))=$(fa) ',
	(int) 14 => 'simplify_fraction($(fa))=$(dd4) ',
	(int) 15 => 'change_mixed_number_to_improper($(dd4))=$(dn) ',
	(int) 16 => 'simplify_fraction($(d2))=$(dd2) '
)
$criterion = array(
	(int) 0 => '',
	(int) 1 => '',
	(int) 2 => '',
	(int) 3 => '',
	(int) 4 => '',
	(int) 5 => '',
	(int) 6 => '',
	(int) 7 => '',
	(int) 8 => '',
	(int) 9 => '',
	(int) 10 => '',
	(int) 11 => '',
	(int) 12 => '',
	(int) 13 => '',
	(int) 14 => '',
	(int) 15 => '',
	(int) 16 => ''
)
$type_criterion = array(
	(int) 0 => '',
	(int) 1 => '',
	(int) 2 => '',
	(int) 3 => '',
	(int) 4 => '',
	(int) 5 => '',
	(int) 6 => '',
	(int) 7 => '',
	(int) 8 => '',
	(int) 9 => '',
	(int) 10 => '',
	(int) 11 => '',
	(int) 12 => '',
	(int) 13 => '',
	(int) 14 => '',
	(int) 15 => '',
	(int) 16 => ''
)
$time_value = array(
	(int) 0 => '1512367674329',
	(int) 1 => '1512367682985',
	(int) 2 => '1512367709715',
	(int) 3 => '1512367804440',
	(int) 4 => '1512367916951',
	(int) 5 => '1512368215070',
	(int) 6 => '1512368215965',
	(int) 7 => '1519884254317',
	(int) 8 => '1519884267836',
	(int) 9 => '1512368294610',
	(int) 10 => '1512368314402',
	(int) 11 => '1519884586501',
	(int) 12 => '1519884596768',
	(int) 13 => '1519884607788',
	(int) 14 => '1519882719308',
	(int) 15 => '1519884783509',
	(int) 16 => '1562582212394'
)
$k = '1519786643529'
$v = object(stdClass) {
	cate => 'fraction'
	name => 'f1'
	attr => object(stdClass) {}
	checkboxFraction => '1'
	range => object(stdClass) {}
}
$mixednumber_session = array(
	(int) 0 => 'f1'
)
$array_system = array(
	(int) 0 => 'A',
	(int) 1 => 'B',
	(int) 2 => 'C',
	(int) 3 => 'D',
	(int) 4 => 'E',
	(int) 5 => 'F',
	(int) 6 => 'G',
	(int) 7 => 'H',
	(int) 8 => 'J',
	(int) 9 => 'K',
	(int) 10 => 'L',
	(int) 11 => 'M',
	(int) 12 => 'N',
	(int) 13 => 'P',
	(int) 14 => 'Q',
	(int) 15 => 'R',
	(int) 16 => 'S',
	(int) 17 => 'T',
	(int) 18 => 'U',
	(int) 19 => 'V',
	(int) 20 => 'W',
	(int) 21 => 'X',
	(int) 22 => 'Y',
	(int) 23 => 'Z'
)
$dem_array_trung = (int) 1
$value_rand_check = (int) 4
$value_check = 'E'
$tempt_k = (int) 0
$tempt_v = '1/2'
$check_who_nnt = (int) 0
$from = '2'
$to = '2'
$result_rand_frac = '1/2'
$findme = '/'
$search_frac = (int) 1
$frac_show = array(
	(int) 0 => '1',
	(int) 1 => '2'
)
$reduce_to_lowest = array(
	(int) 0 => (int) 1,
	(int) 1 => (int) 2
)
$arr_variable = array(
	'n0' => (int) 0,
	'n6' => (int) 6,
	'nn2' => (int) 2,
	'Y' => 'E',
	'f1' => '1/2',
	'(n1)' => (int) 1,
	'(n2)' => (int) 2,
	'(Z)' => 'F'
)
$variable_k = '(Z)'
$variable_v = 'F'
$formula_k = (int) 3
$formula_v = 'do_fraction(+:0,1/2)=$(f2)'
$criterion_k = (int) 16
$criterion_v = ''
$type_criterion_k = (int) 16
$type_criterion_v = ''
$variable_show = array(
	'n0' => (int) 0,
	'n6' => (int) 6,
	'nn2' => (int) 2,
	'Y' => 'E',
	'f1' => '1/2'
)
$start = 'do_fraction('
$end = ')'
$array_mixed_nnt = array(
	(int) 3 => 'yes',
	(int) 5 => 'yes'
)
$check_changes = 'simplify_fraction($(d2))=$(dd2)'
$criterion_continue = '2)=$(f2)'
$criterion_back = '(f2)'
$get_between = '+:0,1/2'
$bieuthuc = array(
	(int) 0 => 'do_fraction(+:0,1/2)',
	(int) 1 => '(f2)'
)
$substr_pos = 'change_decimal_to_fraction'
$get_numerator = false
$get_whole_number_nnt = false
$pos = false
$giatri = ''
$substr_simplify_frac = 'simplify_fraction'
$simplify_frac = false
$substr_simplify_ratio = 'simplify_ratio'
$simplify_ratio = false
$substr_get_element_of_ratio = 'get_element'
$get_element_of_ratio = false
$substr_numberto2decimal = 'change_number_to_2dp'
$change_to_2dp = false
$substr_digit_5_0 = 'change_to_2dp_with_5_or_0'
$change_to_2dp_5_or_0 = false
$substr_mixed_num = 'change_improper_to_mixed_number'
$mixed_num = false
$substr_mixed_to_improper = 'change_mixed_number_to_improper'
$mixed_to_improper = false
$substr_invert_fraction = 'invert_fraction'
$invert_fraction = false
$substr_get_same_numerator = 'share_same_numerator'
$get_same_numerator = false
$substr_get_same_denominator = 'share_same_denominator'
$get_same_denominator = false
$substr_reduce_into_ratio = 'simplify_any_into_ratio'
$reduce_into_ratio = false
$substr_multiply_subscript = 'multiply_ratio_subscript'
$multiply_subscript = false
$substr_assign = 'assign'
$assign = false
$substr_is_12_hour_time_am_pm = 'get_12_hour_time_am_pm'
$is_12_hour_time_am_pm = false
$substr_is_2400_hour_time = 'get_2400_hour_time'
$is_2400_hour_time = false
$substr_add_or_minus_time = 'add_or_minus_min_or_s'
$add_or_minus_time = false
$substr_change_percentage_to_frac = 'change_percentage_to_frac'
$change_percentage_to_frac = false
$substr_round_2_decimal = 'round_2_decimal_place'
$round_2_decimal_place = false
$substr_round_1_decimal = 'round_1_decimal_place'
$round_1_decimal_place = false
$substr_get_quotient = 'get_quotient'
$get_quotient = false
$substr_get_remainder = 'get_remainder'
$get_remainder = false
$substr_change_min_to_hour_min = 'change_min_to_h_min'
$change_min_to_hour_min = false
$substr_change_h_min_to_min = 'change_h_min_to_min'
$change_h_min_to_min = false
$substr_carry_1 = 'carry_1_from_mixed_number'
$get_carry_1 = false
$change_d_or_p_to_fraction = 'change_to_unsimplied_fraction'
$get_change_d_or_p_to_fraction = false
$round_off_to_nearest_ten = 'round_off_to_nearest_ten'
$get_round_off_to_nearest_ten = false
$round_off_to_nearest_hundred = 'round_off_to_nearest_hundred'
$get_round_off_to_nearest_hundred = false
$round_off_to_nearest_thousand = 'round_off_to_nearest_thousand'
$get_round_off_to_nearest_thousand = false
$change_12_to_24 = 'change_12h_to_24h'
$get_12_to_24 = false
$change_24_to_12 = 'change_24h_to_12h'
$get_24_to_12 = false
$get_factors = 'get_factors'
$get_factors_nnt = false
$get_common_factors = 'get_common_factors'
$get_common_factors_nnt = false
$get_multiples = 'get_multiples'
$get_multiples_23916 = false
$get_add_or_minus_multiples = 'add_or_minus_multiples'
$add_or_minus_multiples_23916 = false
$get_common_numbers = 'get_common_numbers'
$get_common_numbers_240916 = false
$substr_array_singular = 'array_singular'
$array_singular_101016 = false
$substr_array_plural = 'array_plural'
$array_plural_101016 = false
$substr_print_fraction = 'print_fraction'
$print_fraction_101016 = false
$substr_array_capitalize = 'array_capitalize'
$array_capitalize_101016 = false
$substr_array_get_words = 'array_get_words'
$array_get_words_31316 = false
$substr_array_get_1st_letter = 'array_get_1st_letter'
$array_array_get_1st_letter = false
$substr_array_get_next_loop = 'array_get_next_loop'
$array_get_next_loop = false
$substr_array_get_next_break = 'array_get_next_break'
$array_get_next_break = false
$substr_multiply_fraction = 'do_fraction'
$array_multiply_fraction = (int) 0
$substr_change_to_italic = 'change_to_italic'
$array_change_to_italic = false
$key_a = 'Y'
$keyArray = (int) 5
$count_check = array(
	(int) 0 => '+',
	(int) 1 => '0,1/2'
)
$arr_caculoid = array(
	(int) 0 => '+',
	(int) 1 => '-',
	(int) 2 => '*',
	(int) 3 => '/'
)
$two_fraction = array(
	(int) 0 => '0',
	(int) 1 => '1/2'
)
$findme2 = '.'
$search_tu = false
$search_tu2 = false
$search_mau = (int) 1
$search_mau2 = false
$tuOne = '0'
$mauOne = (int) 1
$split_mau = array(
	(int) 0 => '1',
	(int) 1 => '2'
)
$tuTwo = '1'
$mauTwo = '2'
$k1 = (int) 16
$v1 = 'simplify_fraction($(d2))=$(dd2)'
CommonComponent::generateAdvClone() - APP/Controller/Component/CommonComponent.php, line 4567
ClonesController::index2() - APP/Controller/ClonesController.php, line 2226
ReflectionMethod::invokeArgs() - [internal], line ??
Controller::invokeAction() - CORE/Cake/Controller/Controller.php, line 490
Dispatcher::_invoke() - CORE/Cake/Routing/Dispatcher.php, line 193
Dispatcher::dispatch() - CORE/Cake/Routing/Dispatcher.php, line 167
[main] - APP/webroot/index.php, line 119

Notice (8): Undefined variable: mauMain [APP/Controller/Component/CommonComponent.php, line 4567]
Code Context
                                        $giatri = $tuMain/$mauMain;
                                    }else{
                                        $giatri = $tuMain.'/'.$mauMain;  
$clone = array(
	'id' => '4124',
	'chart' => '',
	'question_id' => '34867',
	'clone_type' => '1',
	'phpfile' => null,
	'clone_symbol' => null,
	'clone_content' => 'In the number line, what is the value of $(Y)?<br /> Express your answer as a mixed number in its simplest form.<br /><br />$(Z) = $(f2)',
	'clone_solution_step' => 'Number of intervals = $(n6)<br /><br />6 intervals&nbsp;&rarr;&nbsp;$(f2) - $(n0) = $(f1)<br />1 interval &rarr; $(f1) &divide; $(n6) = $(f1) x $(in6) = $(f3)<br /><br />$(Y)<br />= $(n0)&nbsp;+ $(nn2) x $(f3)<br />= $(n0) + $(d2)<br />= $(n0) + $(dd2)<br />= $(n0)$(dd2)<br /><br />Answer(s): $(n0)$(dd2)',
	'clone_answer' => '0$(dd2)														     														     														     														     														     														     														     														     														     														     														     														     														     														     														     														     														     														     														     														     														     														     														     ',
	'array' => object(stdClass) {
		1512367461051 => object(stdClass) {}
		1512367828542 => object(stdClass) {}
		1512367976807 => object(stdClass) {}
		1512368773969 => object(stdClass) {}
		1519786643529 => object(stdClass) {}
	},
	'clone_image' => null,
	'clone_solution_step_image' => null,
	'clone_answer_image' => null,
	'status' => true,
	'created' => '2017-12-04 14:35:48',
	'modified' => '2019-07-08 18:47:34',
	'original_question' => '<span style="color: #0000ff;">5 interval</span> In the number line, what is the value of Y?<br /> Express your answer as a mixed number in its simplest form.',
	'formula' => array(
		(int) 0 => '$(n0) + 1 = $(n1)',
		(int) 1 => '$(n1) + 1 = $(n2)',
		(int) 2 => 'array_get_next_loop($(Y))=$(Z) ',
		(int) 3 => 'do_fraction(+:$(n0),$(f1))=$(f2) ',
		(int) 4 => 'print_fraction(1,$(n6))=$(in6) ',
		(int) 5 => 'do_fraction(*:$(f1),$(in6))=$(f3) ',
		(int) 6 => 'do_fraction(*:$(f3),$(nn2))=$(d2) ',
		(int) 7 => 'get_denominator($(d2))=$(dm) ',
		(int) 8 => 'print_fraction($(dm),$(dm))=$(fn) ',
		(int) 9 => 'share_same_denominator(1:$(f2),$(fn))=$(d1) ',
		(int) 10 => 'get_numerator($(fn))=$(nm1) ',
		(int) 11 => 'get_numerator($(d2))=$(nm2) ',
		(int) 12 => '$(nm1) + $(nm2) = $(t)',
		(int) 13 => 'print_fraction($(t),$(dm))=$(fa) ',
		(int) 14 => 'simplify_fraction($(fa))=$(dd4) ',
		(int) 15 => 'change_mixed_number_to_improper($(dd4))=$(dn) ',
		(int) 16 => 'simplify_fraction($(d2))=$(dd2) '
	),
	'time_value' => array(
		(int) 0 => '1512367674329',
		(int) 1 => '1512367682985',
		(int) 2 => '1512367709715',
		(int) 3 => '1512367804440',
		(int) 4 => '1512367916951',
		(int) 5 => '1512368215070',
		(int) 6 => '1512368215965',
		(int) 7 => '1519884254317',
		(int) 8 => '1519884267836',
		(int) 9 => '1512368294610',
		(int) 10 => '1512368314402',
		(int) 11 => '1519884586501',
		(int) 12 => '1519884596768',
		(int) 13 => '1519884607788',
		(int) 14 => '1519882719308',
		(int) 15 => '1519884783509',
		(int) 16 => '1562582212394'
	),
	'criterion' => array(
		(int) 0 => '',
		(int) 1 => '',
		(int) 2 => '',
		(int) 3 => '',
		(int) 4 => '',
		(int) 5 => '',
		(int) 6 => '',
		(int) 7 => '',
		(int) 8 => '',
		(int) 9 => '',
		(int) 10 => '',
		(int) 11 => '',
		(int) 12 => '',
		(int) 13 => '',
		(int) 14 => '',
		(int) 15 => '',
		(int) 16 => ''
	),
	'type_criterion' => array(
		(int) 0 => '',
		(int) 1 => '',
		(int) 2 => '',
		(int) 3 => '',
		(int) 4 => '',
		(int) 5 => '',
		(int) 6 => '',
		(int) 7 => '',
		(int) 8 => '',
		(int) 9 => '',
		(int) 10 => '',
		(int) 11 => '',
		(int) 12 => '',
		(int) 13 => '',
		(int) 14 => '',
		(int) 15 => '',
		(int) 16 => ''
	),
	'image_gridline' => 'http://ischool.sg/beta-z/img/img_canvas/P4.FR.JM.17101680-Q.png',
	'code_gridline' => 'http://ischool.sg/beta-z/img/img_canvas/P4.FR.JM.17101680-GQ3.png',
	'level' => '',
	'topic_id' => '',
	'source' => '',
	'question_code' => 'P4.FR.JM.17101680-A4',
	'tag' => '',
	'mark' => '',
	'text_working' => '["","","","","","","","","","","","","","","","",""]',
	'original_solution' => 'Number of intervals = 6<br /> 1 interval &rarr; <span class="frac"><sup>1</sup><sub>2</sub></span> &divide; 6 = <span class="frac"><sup>1</sup><sub>12</sub></span><br /> <br /> Y <br /> = 1 <span class="frac"><sup>1</sup><sub>2</sub></span> + 4 x <span class="frac"><sup>1</sup><sub>12</sub></span><br /> = 1 <span class="frac"><sup>6</sup><sub>12</sub></span> + <span class="frac"><sup>4</sup><sub>12</sub></span><br /> = 1 <span class="frac"><sup>10</sup><sub>12</sub></span><br /> = 1 <span class="frac"><sup>5</sup><sub>6</sub></span><br /> <br /> Answer(s): 1 <span class="frac"><sup>5</sup><sub>6</sub></span>',
	'delete_by' => null,
	'delete_date' => null
)
$Array1 = object(Array1) {
	table => 'array1s'
	validate => array()
	useDbConfig => 'default'
	useTable => 'array1s'
	id => '97'
	data => array()
	schemaName => 'ischoolb_orgi'
	primaryKey => 'id'
	validationErrors => array()
	validationDomain => null
	tablePrefix => ''
	plugin => null
	name => 'Array1'
	alias => 'Array1'
	tableToModel => array(
		'array1s' => 'Array1'
	)
	cacheQueries => false
	belongsTo => array()
	hasOne => array()
	hasMany => array()
	hasAndBelongsToMany => array()
	actsAs => null
	Behaviors => object(BehaviorCollection) {}
	whitelist => array()
	cacheSources => true
	findQueryType => null
	recursive => (int) 1
	order => null
	virtualFields => array()
	__backAssociation => array()
	__backInnerAssociation => array()
	__backOriginalAssociation => array()
	__backContainableAssociation => array()
	__safeUpdateMode => false
	useConsistentAfterFind => true
	findMethods => array(
		'all' => true,
		'first' => true,
		'count' => true,
		'neighbors' => true,
		'list' => true,
		'threaded' => true
	)
	[protected] _schema => array(
		'id' => array(
			[maximum depth reached]
		),
		'name' => array(
			[maximum depth reached]
		),
		'content' => array(
			[maximum depth reached]
		),
		'note' => array(
			[maximum depth reached]
		),
		'created' => array(
			[maximum depth reached]
		),
		'modified' => array(
			[maximum depth reached]
		)
	)
	[protected] _associationKeys => array(
		'belongsTo' => array(
			[maximum depth reached]
		),
		'hasOne' => array(
			[maximum depth reached]
		),
		'hasMany' => array(
			[maximum depth reached]
		),
		'hasAndBelongsToMany' => array(
			[maximum depth reached]
		)
	)
	[protected] _associations => array(
		(int) 0 => 'belongsTo',
		(int) 1 => 'hasOne',
		(int) 2 => 'hasMany',
		(int) 3 => 'hasAndBelongsToMany'
	)
	[protected] _insertID => null
	[protected] _sourceConfigured => true
	[protected] _eventManager => object(CakeEventManager) {}
	[protected] _validator => null
}
$Prime = object(AppModel) {
	useDbConfig => 'default'
	useTable => 'primes'
	id => false
	data => array()
	schemaName => null
	table => 'primes'
	primaryKey => 'id'
	validate => array()
	validationErrors => array()
	validationDomain => null
	plugin => null
	name => 'Prime'
	alias => 'Prime'
	tableToModel => array(
		'primes' => 'Prime'
	)
	cacheQueries => false
	belongsTo => array()
	hasOne => array()
	hasMany => array()
	hasAndBelongsToMany => array()
	actsAs => null
	Behaviors => object(BehaviorCollection) {}
	whitelist => array()
	cacheSources => true
	findQueryType => null
	recursive => (int) 1
	order => null
	virtualFields => array()
	__backAssociation => array()
	__backInnerAssociation => array()
	__backOriginalAssociation => array()
	__backContainableAssociation => array()
	__safeUpdateMode => false
	useConsistentAfterFind => true
	findMethods => array(
		'all' => true,
		'first' => true,
		'count' => true,
		'neighbors' => true,
		'list' => true,
		'threaded' => true
	)
	[protected] _schema => null
	[protected] _associationKeys => array(
		'belongsTo' => array(
			[maximum depth reached]
		),
		'hasOne' => array(
			[maximum depth reached]
		),
		'hasMany' => array(
			[maximum depth reached]
		),
		'hasAndBelongsToMany' => array(
			[maximum depth reached]
		)
	)
	[protected] _associations => array(
		(int) 0 => 'belongsTo',
		(int) 1 => 'hasOne',
		(int) 2 => 'hasMany',
		(int) 3 => 'hasAndBelongsToMany'
	)
	[protected] _insertID => null
	[protected] _sourceConfigured => false
	[protected] _eventManager => null
	[protected] _validator => null
}
$answer_fix = '$(n0)$(dd2)														     														     														     														     														     														     														     														     														     														     														     														     														     														     														     														     														     														     														     														     														     														     														     '
$count_crition = (int) 1
$count_array_break = (int) 0
$count_variable_nnt = (int) 0
$message_nnt = ''
$field = 'time_value'
$array_get = array(
	(int) 0 => 'n0',
	(int) 3 => 'f1',
	(int) 4 => 'n6',
	(int) 6 => 'nn2',
	(int) 2 => 'Y',
	(int) 5 => 'f1',
	(int) 1 => '(n1)'
)
$tempt = array(
	(int) 0 => '1/2'
)
$list_name_array = array(
	(int) 0 => 'E'
)
$list_array_item = array(
	'Y' => array(
		'listArray' => array(
			(int) 0 => 'A',
			(int) 1 => 'B',
			(int) 2 => 'C',
			(int) 3 => 'D',
			(int) 4 => 'E',
			(int) 5 => 'F',
			(int) 6 => 'G',
			(int) 7 => 'H',
			(int) 8 => 'J',
			(int) 9 => 'K',
			(int) 10 => 'L',
			(int) 11 => 'M',
			(int) 12 => 'N',
			(int) 13 => 'P',
			(int) 14 => 'Q',
			(int) 15 => 'R',
			(int) 16 => 'S',
			(int) 17 => 'T',
			(int) 18 => 'U',
			(int) 19 => 'V',
			(int) 20 => 'W',
			(int) 21 => 'X',
			(int) 22 => 'Y',
			(int) 23 => 'Z'
		),
		'keyArray' => (int) 4,
		'manyArray' => '0',
		'capitalize' => '1'
	),
	'(Z)' => array(
		'listArray' => array(
			(int) 0 => 'A',
			(int) 1 => 'B',
			(int) 2 => 'C',
			(int) 3 => 'D',
			(int) 4 => 'E',
			(int) 5 => 'F',
			(int) 6 => 'G',
			(int) 7 => 'H',
			(int) 8 => 'J',
			(int) 9 => 'K',
			(int) 10 => 'L',
			(int) 11 => 'M',
			(int) 12 => 'N',
			(int) 13 => 'P',
			(int) 14 => 'Q',
			(int) 15 => 'R',
			(int) 16 => 'S',
			(int) 17 => 'T',
			(int) 18 => 'U',
			(int) 19 => 'V',
			(int) 20 => 'W',
			(int) 21 => 'X',
			(int) 22 => 'Y',
			(int) 23 => 'Z'
		),
		'keyArray' => (int) 5,
		'manyArray' => '0',
		'capitalize' => '1'
	)
)
$list_italic = array()
$array_variable = object(stdClass) {
	1512367461051 => object(stdClass) {}
	1512367828542 => object(stdClass) {}
	1512367976807 => object(stdClass) {}
	1512368773969 => object(stdClass) {}
	1519786643529 => object(stdClass) {}
}
$question_content = 'In the number line, what is the value of $(Y)?<br /> Express your answer as a mixed number in its simplest form.<br /><br />$(Z) = $(f2)'
$solution_step = 'Number of intervals = $(n6)<br /><br />6 intervals&nbsp;&rarr;&nbsp;$(f2) - $(n0) = $(f1)<br />1 interval &rarr; $(f1) &divide; $(n6) = $(f1) x $(in6) = $(f3)<br /><br />$(Y)<br />= $(n0)&nbsp;+ $(nn2) x $(f3)<br />= $(n0) + $(d2)<br />= $(n0) + $(dd2)<br />= $(n0)$(dd2)<br /><br />Answer(s): $(n0)$(dd2)'
$clone_answer = '$(n0)$(dd2)														     														     														     														     														     														     														     														     														     														     														     														     														     														     														     														     														     														     														     														     														     														     														     '
$formula = array(
	(int) 0 => '0+1=1',
	(int) 1 => '1+1=2',
	(int) 2 => 'array_get_next_loop(E)=F',
	(int) 3 => 'do_fraction(+:0,1/2)=$(f2)',
	(int) 4 => 'print_fraction(1,6)=$(in6)',
	(int) 5 => 'do_fraction(*:1/2,$(in6))=$(f3)',
	(int) 6 => 'do_fraction(*:$(f3),2)=$(d2)',
	(int) 7 => 'get_denominator($(d2))=$(dm)',
	(int) 8 => 'print_fraction($(dm),$(dm))=$(fn)',
	(int) 9 => 'share_same_denominator(1:$(f2),$(fn))=$(d1)',
	(int) 10 => 'get_numerator($(fn))=$(nm1)',
	(int) 11 => 'get_numerator($(d2))=$(nm2)',
	(int) 12 => '$(nm1)+$(nm2)=$(t)',
	(int) 13 => 'print_fraction($(t),$(dm))=$(fa)',
	(int) 14 => 'simplify_fraction($(fa))=$(dd4)',
	(int) 15 => 'change_mixed_number_to_improper($(dd4))=$(dn)',
	(int) 16 => 'simplify_fraction($(d2))=$(dd2)'
)
$formula_1 = array(
	(int) 0 => '$(n0) + 1 = $(n1)',
	(int) 1 => '$(n1) + 1 = $(n2)',
	(int) 2 => 'array_get_next_loop($(Y))=$(Z) ',
	(int) 3 => 'do_fraction(+:$(n0),$(f1))=$(f2) ',
	(int) 4 => 'print_fraction(1,$(n6))=$(in6) ',
	(int) 5 => 'do_fraction(*:$(f1),$(in6))=$(f3) ',
	(int) 6 => 'do_fraction(*:$(f3),$(nn2))=$(d2) ',
	(int) 7 => 'get_denominator($(d2))=$(dm) ',
	(int) 8 => 'print_fraction($(dm),$(dm))=$(fn) ',
	(int) 9 => 'share_same_denominator(1:$(f2),$(fn))=$(d1) ',
	(int) 10 => 'get_numerator($(fn))=$(nm1) ',
	(int) 11 => 'get_numerator($(d2))=$(nm2) ',
	(int) 12 => '$(nm1) + $(nm2) = $(t)',
	(int) 13 => 'print_fraction($(t),$(dm))=$(fa) ',
	(int) 14 => 'simplify_fraction($(fa))=$(dd4) ',
	(int) 15 => 'change_mixed_number_to_improper($(dd4))=$(dn) ',
	(int) 16 => 'simplify_fraction($(d2))=$(dd2) '
)
$criterion = array(
	(int) 0 => '',
	(int) 1 => '',
	(int) 2 => '',
	(int) 3 => '',
	(int) 4 => '',
	(int) 5 => '',
	(int) 6 => '',
	(int) 7 => '',
	(int) 8 => '',
	(int) 9 => '',
	(int) 10 => '',
	(int) 11 => '',
	(int) 12 => '',
	(int) 13 => '',
	(int) 14 => '',
	(int) 15 => '',
	(int) 16 => ''
)
$type_criterion = array(
	(int) 0 => '',
	(int) 1 => '',
	(int) 2 => '',
	(int) 3 => '',
	(int) 4 => '',
	(int) 5 => '',
	(int) 6 => '',
	(int) 7 => '',
	(int) 8 => '',
	(int) 9 => '',
	(int) 10 => '',
	(int) 11 => '',
	(int) 12 => '',
	(int) 13 => '',
	(int) 14 => '',
	(int) 15 => '',
	(int) 16 => ''
)
$time_value = array(
	(int) 0 => '1512367674329',
	(int) 1 => '1512367682985',
	(int) 2 => '1512367709715',
	(int) 3 => '1512367804440',
	(int) 4 => '1512367916951',
	(int) 5 => '1512368215070',
	(int) 6 => '1512368215965',
	(int) 7 => '1519884254317',
	(int) 8 => '1519884267836',
	(int) 9 => '1512368294610',
	(int) 10 => '1512368314402',
	(int) 11 => '1519884586501',
	(int) 12 => '1519884596768',
	(int) 13 => '1519884607788',
	(int) 14 => '1519882719308',
	(int) 15 => '1519884783509',
	(int) 16 => '1562582212394'
)
$k = '1519786643529'
$v = object(stdClass) {
	cate => 'fraction'
	name => 'f1'
	attr => object(stdClass) {}
	checkboxFraction => '1'
	range => object(stdClass) {}
}
$mixednumber_session = array(
	(int) 0 => 'f1'
)
$array_system = array(
	(int) 0 => 'A',
	(int) 1 => 'B',
	(int) 2 => 'C',
	(int) 3 => 'D',
	(int) 4 => 'E',
	(int) 5 => 'F',
	(int) 6 => 'G',
	(int) 7 => 'H',
	(int) 8 => 'J',
	(int) 9 => 'K',
	(int) 10 => 'L',
	(int) 11 => 'M',
	(int) 12 => 'N',
	(int) 13 => 'P',
	(int) 14 => 'Q',
	(int) 15 => 'R',
	(int) 16 => 'S',
	(int) 17 => 'T',
	(int) 18 => 'U',
	(int) 19 => 'V',
	(int) 20 => 'W',
	(int) 21 => 'X',
	(int) 22 => 'Y',
	(int) 23 => 'Z'
)
$dem_array_trung = (int) 1
$value_rand_check = (int) 4
$value_check = 'E'
$tempt_k = (int) 0
$tempt_v = '1/2'
$check_who_nnt = (int) 0
$from = '2'
$to = '2'
$result_rand_frac = '1/2'
$findme = '/'
$search_frac = (int) 1
$frac_show = array(
	(int) 0 => '1',
	(int) 1 => '2'
)
$reduce_to_lowest = array(
	(int) 0 => (int) 1,
	(int) 1 => (int) 2
)
$arr_variable = array(
	'n0' => (int) 0,
	'n6' => (int) 6,
	'nn2' => (int) 2,
	'Y' => 'E',
	'f1' => '1/2',
	'(n1)' => (int) 1,
	'(n2)' => (int) 2,
	'(Z)' => 'F'
)
$variable_k = '(Z)'
$variable_v = 'F'
$formula_k = (int) 3
$formula_v = 'do_fraction(+:0,1/2)=$(f2)'
$criterion_k = (int) 16
$criterion_v = ''
$type_criterion_k = (int) 16
$type_criterion_v = ''
$variable_show = array(
	'n0' => (int) 0,
	'n6' => (int) 6,
	'nn2' => (int) 2,
	'Y' => 'E',
	'f1' => '1/2'
)
$start = 'do_fraction('
$end = ')'
$array_mixed_nnt = array(
	(int) 3 => 'yes',
	(int) 5 => 'yes'
)
$check_changes = 'simplify_fraction($(d2))=$(dd2)'
$criterion_continue = '2)=$(f2)'
$criterion_back = '(f2)'
$get_between = '+:0,1/2'
$bieuthuc = array(
	(int) 0 => 'do_fraction(+:0,1/2)',
	(int) 1 => '(f2)'
)
$substr_pos = 'change_decimal_to_fraction'
$get_numerator = false
$get_whole_number_nnt = false
$pos = false
$giatri = ''
$substr_simplify_frac = 'simplify_fraction'
$simplify_frac = false
$substr_simplify_ratio = 'simplify_ratio'
$simplify_ratio = false
$substr_get_element_of_ratio = 'get_element'
$get_element_of_ratio = false
$substr_numberto2decimal = 'change_number_to_2dp'
$change_to_2dp = false
$substr_digit_5_0 = 'change_to_2dp_with_5_or_0'
$change_to_2dp_5_or_0 = false
$substr_mixed_num = 'change_improper_to_mixed_number'
$mixed_num = false
$substr_mixed_to_improper = 'change_mixed_number_to_improper'
$mixed_to_improper = false
$substr_invert_fraction = 'invert_fraction'
$invert_fraction = false
$substr_get_same_numerator = 'share_same_numerator'
$get_same_numerator = false
$substr_get_same_denominator = 'share_same_denominator'
$get_same_denominator = false
$substr_reduce_into_ratio = 'simplify_any_into_ratio'
$reduce_into_ratio = false
$substr_multiply_subscript = 'multiply_ratio_subscript'
$multiply_subscript = false
$substr_assign = 'assign'
$assign = false
$substr_is_12_hour_time_am_pm = 'get_12_hour_time_am_pm'
$is_12_hour_time_am_pm = false
$substr_is_2400_hour_time = 'get_2400_hour_time'
$is_2400_hour_time = false
$substr_add_or_minus_time = 'add_or_minus_min_or_s'
$add_or_minus_time = false
$substr_change_percentage_to_frac = 'change_percentage_to_frac'
$change_percentage_to_frac = false
$substr_round_2_decimal = 'round_2_decimal_place'
$round_2_decimal_place = false
$substr_round_1_decimal = 'round_1_decimal_place'
$round_1_decimal_place = false
$substr_get_quotient = 'get_quotient'
$get_quotient = false
$substr_get_remainder = 'get_remainder'
$get_remainder = false
$substr_change_min_to_hour_min = 'change_min_to_h_min'
$change_min_to_hour_min = false
$substr_change_h_min_to_min = 'change_h_min_to_min'
$change_h_min_to_min = false
$substr_carry_1 = 'carry_1_from_mixed_number'
$get_carry_1 = false
$change_d_or_p_to_fraction = 'change_to_unsimplied_fraction'
$get_change_d_or_p_to_fraction = false
$round_off_to_nearest_ten = 'round_off_to_nearest_ten'
$get_round_off_to_nearest_ten = false
$round_off_to_nearest_hundred = 'round_off_to_nearest_hundred'
$get_round_off_to_nearest_hundred = false
$round_off_to_nearest_thousand = 'round_off_to_nearest_thousand'
$get_round_off_to_nearest_thousand = false
$change_12_to_24 = 'change_12h_to_24h'
$get_12_to_24 = false
$change_24_to_12 = 'change_24h_to_12h'
$get_24_to_12 = false
$get_factors = 'get_factors'
$get_factors_nnt = false
$get_common_factors = 'get_common_factors'
$get_common_factors_nnt = false
$get_multiples = 'get_multiples'
$get_multiples_23916 = false
$get_add_or_minus_multiples = 'add_or_minus_multiples'
$add_or_minus_multiples_23916 = false
$get_common_numbers = 'get_common_numbers'
$get_common_numbers_240916 = false
$substr_array_singular = 'array_singular'
$array_singular_101016 = false
$substr_array_plural = 'array_plural'
$array_plural_101016 = false
$substr_print_fraction = 'print_fraction'
$print_fraction_101016 = false
$substr_array_capitalize = 'array_capitalize'
$array_capitalize_101016 = false
$substr_array_get_words = 'array_get_words'
$array_get_words_31316 = false
$substr_array_get_1st_letter = 'array_get_1st_letter'
$array_array_get_1st_letter = false
$substr_array_get_next_loop = 'array_get_next_loop'
$array_get_next_loop = false
$substr_array_get_next_break = 'array_get_next_break'
$array_get_next_break = false
$substr_multiply_fraction = 'do_fraction'
$array_multiply_fraction = (int) 0
$substr_change_to_italic = 'change_to_italic'
$array_change_to_italic = false
$key_a = 'Y'
$keyArray = (int) 5
$count_check = array(
	(int) 0 => '+',
	(int) 1 => '0,1/2'
)
$arr_caculoid = array(
	(int) 0 => '+',
	(int) 1 => '-',
	(int) 2 => '*',
	(int) 3 => '/'
)
$two_fraction = array(
	(int) 0 => '0',
	(int) 1 => '1/2'
)
$findme2 = '.'
$search_tu = false
$search_tu2 = false
$search_mau = (int) 1
$search_mau2 = false
$tuOne = '0'
$mauOne = (int) 1
$split_mau = array(
	(int) 0 => '1',
	(int) 1 => '2'
)
$tuTwo = '1'
$mauTwo = '2'
$k1 = (int) 16
$v1 = 'simplify_fraction($(d2))=$(dd2)'
CommonComponent::generateAdvClone() - APP/Controller/Component/CommonComponent.php, line 4567
ClonesController::index2() - APP/Controller/ClonesController.php, line 2226
ReflectionMethod::invokeArgs() - [internal], line ??
Controller::invokeAction() - CORE/Cake/Controller/Controller.php, line 490
Dispatcher::_invoke() - CORE/Cake/Routing/Dispatcher.php, line 193
Dispatcher::dispatch() - CORE/Cake/Routing/Dispatcher.php, line 167
[main] - APP/webroot/index.php, line 119

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Question

F Simplest form, F Addition & subtraction, F Number line, Mixed numbers

P4.FR.JM.17101680-A4

In the number line, what is the value of E?
Express your answer as a mixed number in its simplest form.

F = /

3 m

{"n0":0,"n6":6,"nn2":2,"Y":"E","f1":"<span class=\"frac\"><sup>1<\/sup><sub>2<\/sub><\/span>","(n1)":1,"(n2)":2,"(Z)":"F","(f2)":"\/","(in6)":"<span class='frac'><sup>1<\/sup><sub>6<\/sub><\/span>","(f3)":"<span class='frac'><sup>1<\/sup><sub>12<\/sub><\/span>","(d2)":"<span class='frac'><sup>2<\/sup><sub>12<\/sub><\/span>","(dm)":12,"(fn)":"<span class='frac'><sup>12<\/sup><sub>12<\/sub><\/span>","(d1)":false,"(nm1)":12,"(nm2)":2,"(t)":14,"(fa)":"<span class='frac'><sup>14<\/sup><sub>12<\/sub><\/span>","(dd4)":"1<span class=\"frac\"><sup>1<\/sup><sub>6<\/sub><\/span>","(dn)":"<span class='frac'><sup>7<\/sup><sub>6<\/sub><\/span>","(dd2)":"<span class='frac'><sup>1<\/sup><sub>6<\/sub><\/span>"}

∑

Click ∑ button first when a symbol is required. X

Time
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MIN    SEC

Problems
Attempted 0

In the number line, what is the value of E?
Express your answer as a mixed number in its simplest form.

F = /
Number of intervals = 6

6 intervals → / - 0 = ¹₂
1 interval → ¹₂ ÷ 6 = ¹₂ x ¹₆ = ¹₁₂

E
= 0 + 2 x ¹₁₂
= 0 + ²₁₂
= 0 + ¹₆
= 0¹₆

Answer(s): 0¹₆

3 m

×

×

In the number line, what is the value of E?
Express your answer as a mixed number in its simplest form.

F = /

{"n0":0,"n6":6,"nn2":2,"Y":"E","f1":"<span class=\"frac\"><sup>1<\/sup><sub>2<\/sub><\/span>","(n1)":1,"(n2)":2,"(Z)":"F","(f2)":"\/","(in6)":"<span class='frac'><sup>1<\/sup><sub>6<\/sub><\/span>","(f3)":"<span class='frac'><sup>1<\/sup><sub>12<\/sub><\/span>","(d2)":"<span class='frac'><sup>2<\/sup><sub>12<\/sub><\/span>","(dm)":12,"(fn)":"<span class='frac'><sup>12<\/sup><sub>12<\/sub><\/span>","(d1)":false,"(nm1)":12,"(nm2)":2,"(t)":14,"(fa)":"<span class='frac'><sup>14<\/sup><sub>12<\/sub><\/span>","(dd4)":"1<span class=\"frac\"><sup>1<\/sup><sub>6<\/sub><\/span>","(dn)":"<span class='frac'><sup>7<\/sup><sub>6<\/sub><\/span>","(dd2)":"<span class='frac'><sup>1<\/sup><sub>6<\/sub><\/span>"}

∑

Click ∑ button first when a symbol is required. X

×

Symbols

x² x³ ₵ $ ⊥ // ∠ ° π ℓ % : + - × ÷

---

Answer:

Number Fraction

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²

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Ischool Pte Ltd

Date:19 May 2024

Topic: FRACTIONS

Question Code: P4.FR.JM.17101680

Student:

Class:

Level:

School:

---

In the number line, what is the value of E?
Express your answer as a mixed number in its simplest form.

F = /

(3 m)

Answer(s):

Ischool Pte Ltd

Date: 19 May 2024

Topic: FRACTIONS

Question Code: P4.FR.JM.17101680

Student:

Class:

Level:

School:

---

In the number line, what is the value of E?
Express your answer as a mixed number in its simplest form.

F = /

(3 m)

---

STUDENT

• 
• a
• 

  Symbols×

  x²

  x³

  ₵

  $

  ⊥

  //

  ∠

  °

  π

  ℓ

  %

  :
• ÷

  =
• 
• 
• 
• 
• 

• 

Primary 4 FRACTIONS P4.FR.JM.17101680

19 May 2024, 01:54 PM

In the number line, what is the value of E?
Express your answer as a mixed number in its simplest form.

F = /

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ISchool Pte Ltd

Date:19 May 2024

Topic:FRACTIONS

Question Number:P4.FR.JM.17101680-A4

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