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FractionsShort answer · 2 marks

Fractions and decimals: answer both parts.

  1. Express 438 as a decimal.
  2. Express 388 as a mixed number in the simplest form.
Need a hint?

For (a), first change the fraction part 38 into a decimal by dividing 3 by 8. For (b), divide 38 by 8 and then simplify the leftover fraction.

Worked answer

  1. (a) 3/8 = 3 ÷ 8 = 0.375.
  2. (a) 4 3/8 = 4 + 0.375 = 4.375.
  3. (b) 38/8 = 4 remainder 6, so 4 6/8.
  4. (b) 6/8 = 3/4 when simplified, so 38/8 = 4 3/4.
Answer: 4 3/4

The mistake this question tests

Habit

Simplest form in final fraction answers

Pupils often write 4 6/8 in (b) and stop there, forgetting that 6/8 must be reduced to 3/4. In (a) some pupils write 4.38 by reading 3/8 as 0.38 instead of dividing.

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