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Fractions to Decimals

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Fractions to Decimals

Convert each fraction to a decimal. Show working where asked. For recurring decimals, use dots or state the recurring part.

Convert Fractions

1.Write 7/8 as a decimal. Use division to show how you worked it out.
2.Convert 11/20 to a decimal by writing an equivalent fraction with a denominator of 100.
3.Convert 13/25 to a decimal by making an equivalent fraction with a denominator of 100.
4.The shaded part of this strip represents a fraction. Write that fraction as a decimal.

Choose and Match

5.Which decimal is equal to 7/16?
  • 0.716
  • 0.4375
  • 0.475
  • 0.625
6.Which fraction is equal to 0.36 in its simplest form?
  • 9/25
  • 3/8
  • 36/10
  • 4/9
7.Select every fraction that has a recurring decimal expansion.
  • 5/12
  • 7/20
  • 4/11
  • 9/25
  • 5/6
8.Match each fraction to its decimal equivalent.
  • 3/5
  • 1/8
  • 7/10
  • 7/8
  • 1/3
  • 0.875
  • 0.333…
  • 0.6
  • 0.125
  • 0.7

Apply Your Skills

9.A bottle is 5/8 full of water. What is this amount as a decimal of the bottle's capacity? Show a method.
10.A hiking route is 3 3/20 kilometres long. Write its length as a decimal number of kilometres.
11.True or false: 7/12 has a terminating decimal. Give a reason for your answer.
TrueFalse
12.Convert 5/6 to a decimal. Give the value rounded to 3 decimal places, then state whether the exact decimal terminates or recurs.

2 printable pages

  • Fractions to Decimals, page 1 of 2: Convert Fractions, Choose and Match

    Page 1

  • Fractions to Decimals, page 2 of 2: Apply Your Skills

    Page 2

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