PSLE
At first, Nicole had an equal number of green and orange marbles . She gave away ³₄ of her green marbles and some orange marbles. In the end, she was left with ³₅ of her marbles. What fraction of the orange marbles did Nicole give away?

	Green	Orange	Total
Comparing green marbles and orange marbles at first	1x4x5 = 20 u	1x4x5 =  20 u	2x4x5 =  40 u
Before	4x5 = 20 u	20 u	5x8 = 40 u
Change	- 3x5 = - 15 u	- 1 u	- 3x8 = - 16 u
After	1x5 = 5 u	19 u	2x8 = 24 u

After1_x5 =
5 u
19 u2_x8 =
24 u
The number of green marbles at first is repeated. Make the number of green marbles the first the same. LCM of 4 and 1 is 4.

The total number of marbles at first is repeated. Make the total number of marbles at first the same. LCM of 8 and 5 is 40.

Number of orange marbles that Nicole was left with
= 24 u - 5 u
= 19 u

Number of orange marbles that Nicole gave away
= 20 u - 19 u
= 1 u

Fraction of the orange marbles that Nicole gave away = ¹₂₀

Answer(s): ¹₂₀