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FractionsMCQ · 1 mark

At the school reading challenge, Aisyah, Daniel, Mei Lin and Kai each read a different fraction of a book. Among the four fractions they read, which is larger than 37?

  1. 29
  2. 35
  3. 614
  4. 512
Need a hint?

Compare each fraction with 37 using a common denominator. Simplify any fraction that can be simplified first.

Worked answer

  1. Use a common denominator of 63: 37 = 2763 and 29 = 1463, so 29 is smaller.
  2. Use a common denominator of 35: 37 = 1535 and 35 = 2135, so 35 is greater.
  3. Simplify 614 to 37, so 614 is equal to 37.
  4. Use a common denominator of 84: 37 = 3684 and 512 = 3584, so 512 is smaller.
  5. Therefore, 35 is the only fraction greater than 37.
Answer: 35

The mistake this question tests

Habit

Simplest form in final fraction answers

Comparing only the numerators may lead to 614 because 6 is greater than 3. However, 614 simplifies to 37, so it is equal, not greater.

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