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Simplifying Fractions Worksheet

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Simplifying Fractions Worksheet

Reduce fractions to their simplest form where asked. Show your steps for written questions.

Equivalent fractions

1.Select every fraction equivalent to 3/4.
  • 6/8
  • 9/12
  • 6/9
  • 12/16
  • 9/16
2.Which fraction is already in simplest form?
  • 8/12
  • 5/9
  • 15/25
  • 14/21

Simplify and complete

3.Reduce 12/18 to simplest form. Show how you found your answer.
4.Reduce 14/35 to simplest form. Show your working.
5.Reduce 16/24 to simplest form. Show your working.
6.Reduce 21/28 to simplest form. Show your working.
7.Complete the equivalent fractions: 3/5 = __/15 = 12/__.
8.Complete the equivalent fractions: 2/7 = 8/__ = __/21.

Fraction reasoning

9.What is the greatest common factor of 24 and 36?
  • 4
  • 6
  • 12
  • 18
10.Which fraction is not equivalent to 3/5?
  • 6/10
  • 9/15
  • 12/20
  • 12/25
11.Match each fraction to its simplest form.
  • 10/30
  • 12/16
  • 18/24
  • 14/35
  • 15/25
  • 3/4
  • 3/5
  • 2/5
  • 1/3
  • 3/4
12.Explain how to simplify 18/24. Include a common factor you can divide both numbers by and the fraction you get.
13.A baker uses 9/12 of a cup of oats. Is this amount equal to 3/4 of a cup? Explain by simplifying the fraction.
14.Show that 4/8 and 1/2 represent the same amount by drawing two fraction bars of equal length. Divide one into 8 equal parts and shade 4; divide the other into 2 equal parts and shade 1.

Challenge

15.Select all the fractions that are already in simplest form.
  • 7/12
  • 10/15
  • 11/16
  • 18/27
  • 5/13
  • 21/28
16.Complete the pattern with equivalent fractions: 2/5 = 4/10 = __/15 = 8/__ = __/25.
17.A trail walk is 15/20 of a kilometre long. Write 15/20 in simplest form.

3 printable pages

  • Simplifying Fractions Worksheet, page 1 of 3: Equivalent fractions, Simplify and complete

    Page 1

  • Simplifying Fractions Worksheet, page 2 of 3: Fraction reasoning

    Page 2

  • Simplifying Fractions Worksheet, page 3 of 3: Challenge

    Page 3

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