PSLE
At first, Gillian had an equal number of purple and silver marbles . She gave away ⁴₅ of her purple marbles and some silver marbles. In the end, she was left with ¹₄ of her marbles. What fraction of the silver marbles did Gillian give away?

	Purple	Silver	Total
Comparing purple marbles and silver marbles at first	1x5x2 = 10 u	1x5x2 =  10 u	2x5x2 =  20 u
Before	5x2 = 10 u	10 u	4x5 = 20 u
Change	- 4x2 = - 8 u	- 7 u	- 1x5 = - 15 u
After	1x2 = 2 u	3 u	3x5 = 5 u

After1_x2 =
2 u
3 u3_x5 =
5 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 4 is 20.

Number of silver marbles that Gillian was left with
= 5 u - 2 u
= 3 u

Number of silver marbles that Gillian gave away
= 10 u - 3 u
= 7 u

Fraction of the silver marbles that Gillian gave away = ⁷₁₀

Answer(s): ⁷₁₀