PSLE
At first, Sarah had an equal number of yellow and purple marbles . She gave away ²₅ of her yellow marbles and some purple marbles. In the end, she was left with ³₅ of her marbles. What fraction of the purple marbles did Sarah give away?

	Yellow	Purple	Total
Comparing yellow marbles and purple marbles at first	1x5x1 = 5 u	1x5x1 =  5 u	2x5x1 =  10 u
Before	5x1 = 5 u	5 u	5x2 = 10 u
Change	- 2x1 = - 2 u	- 2 u	- 3x2 = - 4 u
After	3x1 = 3 u	3 u	2x2 = 6 u

After3_x1 =
3 u
3 u2_x2 =
6 u
The number of yellow marbles at first is repeated. Make the number of yellow 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 5 is 10.

Number of purple marbles that Sarah was left with
= 6 u - 3 u
= 3 u

Number of purple marbles that Sarah gave away
= 5 u - 3 u
= 2 u

Fraction of the purple marbles that Sarah gave away = ²₅

Answer(s): ²₅