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FractionsStructured · 3 marks

A garden hose is 3720 metres long. Another hose is 2.6 metres long. Answer each part. Give each answer in the form asked.

  1. Write 3720 metres as a decimal.
  2. Write 2.6 metres as a mixed number in simplest form.
  3. Find the total length of both hoses, in metres, as a decimal.
Need a hint?

For (a), change the fraction to hundredths first. For (c), line up the decimal points before adding.

Worked answer

  1. (a) 7/20 = 35/100 = 0.35, so 3720 = 3.35 m.
  2. (b) 2.6 = 2 6/10 = 2 3/5 m, since 6/10 simplifies to 3/5.
  3. (c) 3.35 + 2.6 = 5.95, so the total length is 5.95 m.
Answer: 5.95 m

The mistake this question tests

Habit

Simplest form in final fraction answers

Pupils who write 7/20 as 0.7 or 0.27 have mixed up the denominator with the decimal place value; 7/20 must be rewritten over 100 first.

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