Equivalent fractions

Recognising fractions with the same value, such as 1/2 = 2/4

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Try each question. If you're stuck, leave it and come back. The answer key is on the last page.

1
Which fraction is equivalent to 1/2? A) 1/3 B) 2/4 C) 3/5 D) 1/4
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2
Fill in the missing number: 1/2 = ___/6 1/2 = ___/6
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3
True or false? 4/8 is equivalent to 1/2. A) True B) False
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4
Which fraction is equivalent to 1/3? A) 2/6 B) 2/4 C) 3/6 D) 1/6
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5
Fill in the missing number: 1/3 = ___/9 1/3 = ___/9
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6
Which fraction is NOT equivalent to 1/2? A) 2/4 B) 3/6 C) 4/8 D) 3/8
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7
Fill in the missing number: 2/4 = ___/8 2/4 = ___/8
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8
Fill in the missing number: 3/4 = ___/8 3/4 = ___/8
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9
Which set of fractions are ALL equivalent? A) 1/2, 2/4, 3/6, 4/8 B) 1/2, 2/3, 3/4, 4/5 C) 1/3, 2/4, 3/5, 4/6 D) 1/2, 1/3, 1/4, 1/5
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10
True or false? 2/5 is equivalent to 4/10. A) True B) False
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Answer key

Equivalent fractions · for parents and teachers

1
2/4
2/4 = 1/2 because 2 out of 4 equal pieces is the same as 1 out of 2 equal pieces.
2
3
1×3 = 3 and 2×3 = 6, so 1/2 = 3/6.
3
True
True. 4 is half of 8, so 4/8 = 1/2.
4
2/6
1×2 = 2 and 3×2 = 6, so 1/3 = 2/6.
5
3
1×3 = 3 and 3×3 = 9, so 1/3 = 3/9.
6
3/8
3 is not half of 8 (half of 8 is 4), so 3/8 is not equivalent to 1/2.
7
4
2×2 = 4 and 4×2 = 8, so 2/4 = 4/8.
8
6
3×2 = 6 and 4×2 = 8, so 3/4 = 6/8.
9
1/2, 2/4, 3/6, 4/8
1/2, 2/4, 3/6 and 4/8 all simplify to 1/2 - the top number is half the bottom.
10
True
True. 2×2 = 4 and 5×2 = 10, so 2/5 = 4/10.