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Fractions to Decimals

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Fractions to Decimals

Write decimals using a decimal point. Simplify your working where it helps.

Convert fractions to decimals

1.The bar is split into 4 equal parts, and 3 parts are shaded. Write the shaded amount as a fraction and as a decimal.
2.Convert 3/5 to a decimal.
3.Convert 7/20 to a decimal.
4.Convert 9/25 to a decimal.
5.Which decimal is equal to 7/8?
  • 0.78
  • 0.875
  • 0.807
  • 1.75
6.Which fraction is equal to 0.45?
  • 4/5
  • 9/20
  • 1/4
  • 3/5
7.Match each fraction with its decimal equivalent.
  • 1/8
  • 2/5
  • 3/20
  • 7/10
  • 1/5
  • 0.125
  • 0.7
  • 0.4
  • 0.2
  • 0.15

Decimal place value and calculations

8.In 6.284, what is the value of the digit 8?
9.Calculate 0.47 × 10.
10.Calculate 3.6 ÷ 10.
11.Calculate 0.825 × 100.
12.Calculate 42.7 ÷ 100.

Fractions and decimals in context

13.A jug is 3/5 full of water. What decimal of the jug’s capacity is filled?
14.A walking track is 7/20 of a kilometre long. Write its length as a decimal number of kilometres.
15.A bottle contains 0.375 litres of juice. Write 0.375 as a fraction in simplest form.
16.Explain how you can change 7/20 into a decimal. Include a calculation that supports your answer.

3 printable pages

  • Fractions to Decimals, page 1 of 3: Convert fractions to decimals

    Page 1

  • Fractions to Decimals, page 2 of 3: Decimal place value and calculations

    Page 2

  • Fractions to Decimals, page 3 of 3: Fractions and decimals in context

    Page 3

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