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FractionsStructured · 3 marks

Find the value of each of the following. Give each answer in its simplest form.

  1. 34 - 25
  2. 49 ÷ 6
Need a hint?

For (a), find a number both 4 and 5 divide into. For (b), dividing by 6 is the same as multiplying by 16.

Worked answer

  1. (a) Write both fractions with the common denominator 20: 1520 - 820.
  2. (a) Subtract the numerators: 1520 - 820 = 720.
  3. (b) Write the division as a fraction: 49 ÷ 6 = 49 × 16.
  4. (b) Multiply the numerators and the denominators: 454.
  5. (b) Divide the numerator and denominator by 2 to simplify: 227.
Answer: 2/27

The mistake this question tests

Habit

Calculation slip

Pupils subtract the denominators as well as the numerators, or forget to simplify 454 to 227.

How to fix it at home →

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