Express your answer as a mixed number in its simplest form.
X = /
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 → $(f2) - $(n0) = $(f1)<br />1 interval → $(f1) ÷ $(n6) = $(f1) x $(in6) = $(f3)<br /><br />$(Y)<br />= $(n0) + $(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 → <span class="frac"><sup>1</sup><sub>2</sub></span> ÷ 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 => 'W' ) $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) 20, '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) 21, '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 → $(f2) - $(n0) = $(f1)<br />1 interval → $(f1) ÷ $(n6) = $(f1) x $(in6) = $(f3)<br /><br />$(Y)<br />= $(n0) + $(nn2) x $(f3)<br />= $(n0) + $(d2)<br />= $(n0) + $(dd2)<br />= $(n0)$(dd2)<br /><br />Answer(s): $(n0)$(dd2)' $clone_answer = '$(n0)$(dd2) ' $formula = array( (int) 0 => '0+1=1', (int) 1 => '1+1=2', (int) 2 => 'array_get_next_loop(W)=X', (int) 3 => 'do_fraction(+:0,1/2)=$(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) 20 $value_check = 'W' $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' => 'W', 'f1' => '1/2', '(n1)' => (int) 1, '(n2)' => (int) 2, '(Z)' => 'X' ) $variable_k = '(Z)' $variable_v = 'X' $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' => 'W', '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) 21 $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 → $(f2) - $(n0) = $(f1)<br />1 interval → $(f1) ÷ $(n6) = $(f1) x $(in6) = $(f3)<br /><br />$(Y)<br />= $(n0) + $(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 → <span class="frac"><sup>1</sup><sub>2</sub></span> ÷ 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 => 'W' ) $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) 20, '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) 21, '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 → $(f2) - $(n0) = $(f1)<br />1 interval → $(f1) ÷ $(n6) = $(f1) x $(in6) = $(f3)<br /><br />$(Y)<br />= $(n0) + $(nn2) x $(f3)<br />= $(n0) + $(d2)<br />= $(n0) + $(dd2)<br />= $(n0)$(dd2)<br /><br />Answer(s): $(n0)$(dd2)' $clone_answer = '$(n0)$(dd2) ' $formula = array( (int) 0 => '0+1=1', (int) 1 => '1+1=2', (int) 2 => 'array_get_next_loop(W)=X', (int) 3 => 'do_fraction(+:0,1/2)=$(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) 20 $value_check = 'W' $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' => 'W', 'f1' => '1/2', '(n1)' => (int) 1, '(n2)' => (int) 2, '(Z)' => 'X' ) $variable_k = '(Z)' $variable_v = 'X' $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' => 'W', '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) 21 $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 → $(f2) - $(n0) = $(f1)<br />1 interval → $(f1) ÷ $(n6) = $(f1) x $(in6) = $(f3)<br /><br />$(Y)<br />= $(n0) + $(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 → <span class="frac"><sup>1</sup><sub>2</sub></span> ÷ 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 => 'W' ) $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) 20, '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) 21, '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 → $(f2) - $(n0) = $(f1)<br />1 interval → $(f1) ÷ $(n6) = $(f1) x $(in6) = $(f3)<br /><br />$(Y)<br />= $(n0) + $(nn2) x $(f3)<br />= $(n0) + $(d2)<br />= $(n0) + $(dd2)<br />= $(n0)$(dd2)<br /><br />Answer(s): $(n0)$(dd2)' $clone_answer = '$(n0)$(dd2) ' $formula = array( (int) 0 => '0+1=1', (int) 1 => '1+1=2', (int) 2 => 'array_get_next_loop(W)=X', (int) 3 => 'do_fraction(+:0,1/2)=$(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) 20 $value_check = 'W' $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' => 'W', 'f1' => '1/2', '(n1)' => (int) 1, '(n2)' => (int) 2, '(Z)' => 'X' ) $variable_k = '(Z)' $variable_v = 'X' $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' => 'W', '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) 21 $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 → $(f2) - $(n0) = $(f1)<br />1 interval → $(f1) ÷ $(n6) = $(f1) x $(in6) = $(f3)<br /><br />$(Y)<br />= $(n0) + $(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 → <span class="frac"><sup>1</sup><sub>2</sub></span> ÷ 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 => 'W' ) $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) 20, '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) 21, '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 → $(f2) - $(n0) = $(f1)<br />1 interval → $(f1) ÷ $(n6) = $(f1) x $(in6) = $(f3)<br /><br />$(Y)<br />= $(n0) + $(nn2) x $(f3)<br />= $(n0) + $(d2)<br />= $(n0) + $(dd2)<br />= $(n0)$(dd2)<br /><br />Answer(s): $(n0)$(dd2)' $clone_answer = '$(n0)$(dd2) ' $formula = array( (int) 0 => '0+1=1', (int) 1 => '1+1=2', (int) 2 => 'array_get_next_loop(W)=X', (int) 3 => 'do_fraction(+:0,1/2)=$(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) 20 $value_check = 'W' $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' => 'W', 'f1' => '1/2', '(n1)' => (int) 1, '(n2)' => (int) 2, '(Z)' => 'X' ) $variable_k = '(Z)' $variable_v = 'X' $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' => 'W', '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) 21 $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 → $(f2) - $(n0) = $(f1)<br />1 interval → $(f1) ÷ $(n6) = $(f1) x $(in6) = $(f3)<br /><br />$(Y)<br />= $(n0) + $(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 → <span class="frac"><sup>1</sup><sub>2</sub></span> ÷ 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 => 'W' ) $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) 20, '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) 21, '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 → $(f2) - $(n0) = $(f1)<br />1 interval → $(f1) ÷ $(n6) = $(f1) x $(in6) = $(f3)<br /><br />$(Y)<br />= $(n0) + $(nn2) x $(f3)<br />= $(n0) + $(d2)<br />= $(n0) + $(dd2)<br />= $(n0)$(dd2)<br /><br />Answer(s): $(n0)$(dd2)' $clone_answer = '$(n0)$(dd2) ' $formula = array( (int) 0 => '0+1=1', (int) 1 => '1+1=2', (int) 2 => 'array_get_next_loop(W)=X', (int) 3 => 'do_fraction(+:0,1/2)=$(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) 20 $value_check = 'W' $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' => 'W', 'f1' => '1/2', '(n1)' => (int) 1, '(n2)' => (int) 2, '(Z)' => 'X' ) $variable_k = '(Z)' $variable_v = 'X' $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' => 'W', '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) 21 $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 → $(f2) - $(n0) = $(f1)<br />1 interval → $(f1) ÷ $(n6) = $(f1) x $(in6) = $(f3)<br /><br />$(Y)<br />= $(n0) + $(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 → <span class="frac"><sup>1</sup><sub>2</sub></span> ÷ 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 => 'W' ) $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) 20, '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) 21, '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 → $(f2) - $(n0) = $(f1)<br />1 interval → $(f1) ÷ $(n6) = $(f1) x $(in6) = $(f3)<br /><br />$(Y)<br />= $(n0) + $(nn2) x $(f3)<br />= $(n0) + $(d2)<br />= $(n0) + $(dd2)<br />= $(n0)$(dd2)<br /><br />Answer(s): $(n0)$(dd2)' $clone_answer = '$(n0)$(dd2) ' $formula = array( (int) 0 => '0+1=1', (int) 1 => '1+1=2', (int) 2 => 'array_get_next_loop(W)=X', (int) 3 => 'do_fraction(+:0,1/2)=$(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) 20 $value_check = 'W' $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' => 'W', 'f1' => '1/2', '(n1)' => (int) 1, '(n2)' => (int) 2, '(Z)' => 'X' ) $variable_k = '(Z)' $variable_v = 'X' $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' => 'W', '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) 21 $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 → $(f2) - $(n0) = $(f1)<br />1 interval → $(f1) ÷ $(n6) = $(f1) x $(in6) = $(f3)<br /><br />$(Y)<br />= $(n0) + $(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 → <span class="frac"><sup>1</sup><sub>2</sub></span> ÷ 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 => 'W' ) $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) 20, '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) 21, '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 → $(f2) - $(n0) = $(f1)<br />1 interval → $(f1) ÷ $(n6) = $(f1) x $(in6) = $(f3)<br /><br />$(Y)<br />= $(n0) + $(nn2) x $(f3)<br />= $(n0) + $(d2)<br />= $(n0) + $(dd2)<br />= $(n0)$(dd2)<br /><br />Answer(s): $(n0)$(dd2)' $clone_answer = '$(n0)$(dd2) ' $formula = array( (int) 0 => '0+1=1', (int) 1 => '1+1=2', (int) 2 => 'array_get_next_loop(W)=X', (int) 3 => 'do_fraction(+:0,1/2)=$(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) 20 $value_check = 'W' $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' => 'W', 'f1' => '1/2', '(n1)' => (int) 1, '(n2)' => (int) 2, '(Z)' => 'X' ) $variable_k = '(Z)' $variable_v = 'X' $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' => 'W', '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) 21 $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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Date:01 Jul 2024
Topic:FRACTIONS
Question Number:P4.FR.JM.17101680-A4
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