PSLE
At first, Emma had an equal number of orange and yellow marbles . She gave away ³₅ of her orange marbles and some yellow marbles. In the end, she was left with ²₃ of her marbles. What fraction of the yellow marbles did Emma give away?

	Orange	Yellow	Total
Comparing orange marbles and yellow marbles at first	1x5x3 = 15 u	1x5x3 =  15 u	2x5x3 =  30 u
Before	5x3 = 15 u	15 u	3x10 = 30 u
Change	- 3x3 = - 9 u	- 1 u	- 2x10 = - 10 u
After	2x3 = 6 u	14 u	1x10 = 20 u

After2_x3 =
6 u
14 u1_x10 =
20 u
The number of orange marbles at first is repeated. Make the number of orange marbles the first the same. LCM of 5 and 1 is 5.

The total number of marbles at first is repeated. Make the total number of marbles at first the same. LCM of 10 and 3 is 30.

Number of yellow marbles that Emma was left with
= 20 u - 6 u
= 14 u

Number of yellow marbles that Emma gave away
= 15 u - 14 u
= 1 u

Fraction of the yellow marbles that Emma gave away = ¹₁₅

Answer(s): ¹₁₅