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RatioMCQ · 1 mark

A toy shop has 108 red kites and 84 blue kites. What is the ratio of the number of red kites to the number of blue kites in its simplest form?

  1. 27 : 21
  2. 9 : 7
  3. 7 : 9
  4. 36 : 28
Need a hint?

Look for one number that divides both 108 and 84 exactly, and keep dividing until no common factor is left.

Worked answer

  1. Find the highest common factor of 108 and 84, which is 12.
  2. Divide 108 by 12 to get 9.
  3. Divide 84 by 12 to get 7.
  4. The ratio in simplest form is 9 : 7.
Answer: 9 : 7

The mistake this question tests

Habit

Simplest form in final fraction answers

Pupils divide only by a small common factor such as 4 or 3, getting 27 : 21 or 36 : 28, and stop there without checking whether the ratio can still be simplified.

How to fix it at home →

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