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Exploring Equivalent Fractions

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Exploring Equivalent Fractions

Choose the best answer where options are given. Simplify fractions fully and show your working when asked.

Recognising Equivalent Fractions

1.Which fraction has the same value as 2/5?
  • 4/10
  • 3/10
  • 4/8
  • 5/12
2.Select the fraction equivalent to 3/8.
  • 6/12
  • 9/24
  • 12/30
  • 10/24
3.Which fractions below are equivalent to 4/7? Select every correct option.
  • 8/14
  • 12/21
  • 16/28
  • 20/35
  • 8/21
4.Complete the equivalent fraction: 3/5 = □/20.
5.Complete the equivalent fraction: 2/9 = 10/□.
6.Complete the equivalent fraction: 6/18 = □/3.

Simplifying Fractions

7.Write 15/25 in its simplest form.
8.Reduce 21/28 to its lowest terms.
9.Show a sequence of steps that simplifies 24/36 completely.
10.A tray has 18 equal pieces of fruit. Oliver eats 12 pieces. What fraction of the fruit does she eat? Give your answer in simplest form.
11.The bar below is divided into equal parts. Write the shaded amount as a fraction, then write an equivalent fraction with denominator 8.

Using Equivalent Fractions

12.Match each fraction on the left to an equivalent fraction on the right. Use each option once.
  • 3/10
  • 5/6
  • 4/5
  • 7/12
  • 3/4
  • 10/12
  • 20/25
  • 9/30
  • 6/8
  • 21/36
13.A recipe uses 3/4 of a cup of oats. The measuring jug is marked in eighths. What equivalent fraction tells you how many eighths to measure?
14.A class says that 6/9 and 2/3 name the same amount. Use multiplication or division to explain why the fractions are equivalent.

3 printable pages

  • Exploring Equivalent Fractions, page 1 of 3: Recognising Equivalent Fractions, Simplifying Fractions

    Page 1

  • Exploring Equivalent Fractions, page 2 of 3: Using Equivalent Fractions

    Page 2

  • Exploring Equivalent Fractions, page 3 of 3: 13. A recipe uses 3/4 of a cup of oats. The measuring jug is marked in eighths. What…

    Page 3

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