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Equivalent Fractions Worksheet
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Equivalent Fractions Worksheet
Fractions are equivalent when they show the same amount. Multiply or divide the numerator and denominator by the same non-zero number to make equivalent fractions. Simplify by dividing both parts by a common factor.
Recognising and Making Equivalent Fractions
1.Which fractions have the same value as 3/5? Select all that apply.
- 6/10
- 9/15
- 4/10
- 12/20
- 8/15
2.Choose the fraction equal to 4/7.
- 8/14
- 8/21
- 12/14
- 5/7
3.Fill in each missing number so the fractions are equivalent: a) 2/3 = __/12; b) 3/8 = 9/__; c) 4/9 = __/27; d) 5/6 = 20/__; e) 7/10 = __/50.
4.Multiply the numerator and denominator by the stated number to make an equivalent fraction: a) 2/5 by 3; b) 3/7 by 4; c) 5/8 by 2; d) 4/11 by 5.
5.Write three fractions equivalent to 5/12. Use a different multiplier for each fraction.
Simplifying Fractions
6.Reduce each fraction to its simplest form: a) 14/21; b) 16/24; c) 21/35; d) 28/42; e) 24/40.
7.Which fraction is already in its simplest form?
- 12/18
- 7/11
- 15/25
- 21/28
8.Simplify 30/45. Show a sequence of divisions that proves your answer is in its simplest form.
9.Select every fraction that is equivalent to 3/4.
- 6/8
- 9/12
- 12/16
- 15/24
- 18/24
10.Complete both equivalent-fraction chains: a) 2/3 = 4/6 = __/9 = 8/__ = __/15; b) 3/5 = 6/10 = __/15 = 12/__ = __/25.
11.Match each fraction to its simplest form.
- 18/24
- 14/35
- 15/25
- 20/28
- 3/5
- 5/7
- 2/5
- 3/4
Using Equivalent Fractions
12.Amelia eats 4/10 of a tray of flapjacks, and Oliver eats 2/5 of an identical tray. Have they eaten equal amounts? Explain using equivalent fractions.
13.Find x if 3/7 = 12/x.
14.Arrange 2/3, 3/8, 5/6 and 1/4 in order from smallest to largest. Use equivalent fractions with a common denominator.
15.Write two different fractions equivalent to each one: a) 3/7; b) 4/9; c) 5/8.
16.A scone recipe uses 5/6 of a cup of milk. Write this amount as a fraction with denominator 18.
3 printable pages
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