PSLE
At first, Gabby 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 ³₄ of her marbles. What fraction of the purple marbles did Gabby give away?

	Yellow	Purple	Total
Comparing yellow marbles and purple marbles at first	1x5x2 = 10 u	1x5x2 =  10 u	2x5x2 =  20 u
Before	5x2 = 10 u	10 u	4x5 = 20 u
Change	- 2x2 = - 4 u	- 1 u	- 3x5 = - 5 u
After	3x2 = 6 u	9 u	1x5 = 15 u

After3_x2 =
6 u
9 u1_x5 =
15 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 4 is 20.

Number of purple marbles that Gabby was left with
= 15 u - 6 u
= 9 u

Number of purple marbles that Gabby gave away
= 10 u - 9 u
= 1 u

Fraction of the purple marbles that Gabby gave away = ¹₁₀

Answer(s): ¹₁₀