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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.
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