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FractionsShort answer · 2 marks

Shanti had some savings. She spent 38 of her savings on a book. She then spent 23 of the money that was left on lunch. What fraction of her original savings was left? Give your answer as a fraction in its simplest form.

Need a hint?

Work out how much money is left after the book first. The 23 applies to that amount, not to the original savings.

Worked answer

  1. After the book, the money left is 1 − 38 = 58 of the savings.
  2. Lunch takes 23 of 58, so the money left after lunch is 13 of 58.
  3. 13 × 58 = 524, which is already in simplest form.
Answer: 5/24

The mistake this question tests

Habit

Fraction of a remainder

Pupils find 23 of 58 = 512 and give that, but 512 is the money spent on lunch, not the money left.

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