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FractionsStructured · 3 marks

A rain gauge at the school recorded 4320 cm of rain on Monday and 3.85 cm of rain on Tuesday. Answer each part.

  1. Express 4320 cm as a decimal.
  2. Express 3.85 cm as a mixed number in simplest form.
  3. How much more rain fell on Monday than on Tuesday? Give your answer as a fraction in simplest form, in cm.
Need a hint?

For (a), write 320 with a denominator of 100. For (c), subtract the two decimals first, then write the result as a fraction and simplify.

Worked answer

  1. (a) 320 = 15100 = 0.15, so 4320 = 4.15 cm.
  2. (b) 3.85 = 385100 = 7720 = 31720 cm.
  3. (c) Difference = 4.15 − 3.85 = 0.30 = 30100 = 310 cm.
Answer: 3/10 cm

The mistake this question tests

Habit

Simplest form in final fraction answers

In (a), pupils treat 320 as 0.3 instead of 0.15, giving 4.3 cm. In (c), pupils leave the answer as 620 without simplifying it to 310.

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