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Fractions Decimals Percentages Equivalence

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Fractions Decimals Percentages Equivalence

Complete each question. Show your working where asked. Remember that equivalent forms represent the same amount.

Recognise equivalent values

1.Which decimal has the same value as 3/5?
  • 0.3
  • 0.6
  • 0.35
  • 0.8
2.What percentage is equal to 0.4?
  • 4%
  • 40%
  • 0.4%
  • 400%
3.Choose the fraction that is equivalent to 60%.
  • 1/5
  • 3/5
  • 2/3
  • 3/4

Complete the equivalence table

Fill each blank with a fraction, decimal or percentage that gives the same value as the other entries in its row. Give fractions in simplest form.

Fraction | Decimal | Percentage 1/4 | ____ | ____

Fraction | Decimal | Percentage ____ | 0.7 | ____

Fraction | Decimal | Percentage ____ | ____ | 35%

Fraction | Decimal | Percentage 5/8 | ____ | ____

Fraction | Decimal | Percentage ____ | 1.2 | ____

Use equivalence in everyday situations

4.A board game costs $60. It is reduced by 25%. How many dollars are taken off the original price?
5.A water bottle is 0.8 full. Write this amount as a fraction in simplest form and as a percentage.
6.Select every option that has the same value as 3/4.
  • 0.75
  • 75%
  • 0.075
  • 7.5%
  • 6/8

Match and represent

7.Match each fraction to its equivalent decimal and percentage.
  • 1/8
  • 3/4
  • 2/5
  • 9/10
  • 0.75 and 75%
  • 0.9 and 90%
  • 0.4 and 40%
  • 0.125 and 12.5%
8.Draw a rectangle divided into 10 equal parts. Shade 6 parts to show 0.6, then label the same amount as a percentage and a fraction in simplest form.
9.Convert 3/8 to a decimal and a percentage. Show a calculation or explain the steps you used.
10.Explain why 0.25, 1/4 and 25% represent the same amount.

3 printable pages

  • Fractions Decimals Percentages Equivalence, page 1 of 3: Recognise equivalent values, Complete the equivalence table

    Page 1

  • Fractions Decimals Percentages Equivalence, page 2 of 3: Use equivalence in everyday situations, Match and represent

    Page 2

  • Fractions Decimals Percentages Equivalence, page 3 of 3: 9. Convert 3/8 to a decimal and a percentage. Show a calculation or explain the steps you…

    Page 3

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