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FractionsShort answer · 2 marks

Four gardeners each watered a fraction of their flower beds before lunch. Ms Kaur watered 38, Mr Lee watered 512, Mrs Tan watered 716 and Mr Ong watered 25. Arrange the four names from the least fraction watered to the greatest.

Need a hint?

Rewrite all four fractions with the same denominator before comparing them.

Worked answer

  1. Find a common denominator for 8, 12, 16 and 5: the LCM is 240.
  2. Write each fraction in 240ths: 3/8 = 90/240, 5/12 = 100/240, 7/16 = 105/240, 2/5 = 96/240.
  3. Compare the numerators: 90 < 96 < 100 < 105.
  4. So the order from least to greatest is Ms Kaur, Mr Ong, Mr Lee, Mrs Tan.
Answer: Ms Kaur, Mr Ong, Mr Lee, Mrs Tan

The mistake this question tests

Habit

Simplest form in final fraction answers

Comparing only the numerators (3, 2, 5, 7) or only the denominators ignores the size of each whole piece, so the order comes out wrong.

How to fix it at home →

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