PSLE
At first, Yen had an equal number of purple and orange marbles . She gave away ⁴₅ of her purple marbles and some orange marbles. In the end, she was left with ²₅ of her marbles. What fraction of the orange marbles did Yen give away?

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

After1_x1 =
1 u
3 u3_x2 =
4 u
The number of purple marbles at first is repeated. Make the number of purple 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 orange marbles that Yen was left with
= 4 u - 1 u
= 3 u

Number of orange marbles that Yen gave away
= 5 u - 3 u
= 2 u

Fraction of the orange marbles that Yen gave away = ²₅

Answer(s): ²₅