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Priya had some stickers. She gave of her stickers to her sister. Then she gave of the remaining stickers to her friend. She was left with 36 stickers. How many stickers did Priya have at first?
Answer
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The second fraction is of one piece, not of the whole.
In this one. The second fraction is taken of the remainder, not of the whole — and because the remainder is already 5 of the original 8 units, its fifths are those units, so 36 is 3 units, i.e. 3/8 of what she started with.
A second fraction arrives after the first and is attached to a piece rather than to the whole — 'of the remainder', 'of what was left', or 'of the ones that were red'.
Children take the second fraction of the original total instead of the piece it was named against, which makes the amount come out too big.
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