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Question 11a

Video explanation ↓

Rachel and Joanne gave away the same number of stickers. Rachel gave away 2/3 of her stickers and Joanne gave away 3/5 of her stickers. What fraction of the number of Joanne's stickers is the number of Rachel's stickers? (2 marks)

Answer: 9/10

Workings

equal fraction concept

step 1: find the equal fraction

Rachel and Joanne gave away the same number of stickers. Rachel gave away 2/3 of her stickers and Joanne gave away 3/5 of her stickers.

step 2: make numerators the same

2/3 rachel = 3/5 joanne

need find lowest common multiple of 2 and 3 → 6

6/9 rachel = 6/10 joanne

step 3 → convert to units

rachel total → 9u joanne total → 10u

"What fraction of the number of Joanne's stickers is the number of Rachel's stickers?" → rachel total / joanne total = 9 / 10

Video explanations

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