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

	Black	Green	Total
Comparing black marbles and green 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 black marbles at first is repeated. Make the number of black 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 green marbles that Raeann was left with
= 20 u - 6 u
= 14 u

Number of green marbles that Raeann gave away
= 15 u - 14 u
= 1 u

Fraction of the green marbles that Raeann gave away = ¹₁₅

Answer(s): ¹₁₅