Fractions, decimals & percentages equivalence

Recognise the equivalent values of common fractions, decimals and percentages

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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
What is 1/2 written as a decimal? A) 0.2 B) 0.5 C) 0.25 D) 0.05
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2
Write 1/4 as a percentage. 1/4 = ___%
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3
Is this statement true or false? 3/4 is the same as 0.75. A) True B) False
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4
Match each fraction to its percentage. Match each item on the left to one on the right. Left: 1/10, 1/5, 1/2, 3/4 Right: 10%, 20%, 50%, 75%
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5
Write 0.2 as a percentage. 0.2 = ___%
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6
Match the equivalent values. Match each item on the left to one on the right. Left: 0.5, 0.25, 0.1, 0.2 Right: 1/2, 1/4, 1/10, 1/5
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7
Order these from smallest to largest: 0.6, 1/2, 75%, 0.25. Put these in order: 0.6, 1/2, 75%, 0.25
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8
Which is largest: 0.45, 2/5 or 48%? A) 0.45 B) 2/5 C) 48% D) They are equal
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9
Write 7/10 as a decimal. 7/10 = ___
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10
Is this statement true or false? 0.05 is the same as 50%. A) True B) False
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Answer key

Fractions, decimals & percentages equivalence · for parents and teachers

1
0.5
1/2 = 0.5 = 50%.
2
25
1/4 = 25/100 = 25%.
3
True
3/4 = 0.75 = 75%. The statement is true.
4
1/10 → 10%; 1/5 → 20%; 1/2 → 50%; 3/4 → 75%
1/10 = 10/100 = 10%. 1/5 = 20/100 = 20%. 1/2 = 50/100 = 50%. 3/4 = 75/100 = 75%.
5
20
0.2 × 100 = 20, so 0.2 = 20% = 1/5.
6
0.5 → 1/2; 0.25 → 1/4; 0.1 → 1/10; 0.2 → 1/5
0.5 = 1/2, 0.25 = 1/4, 0.1 = 1/10, 0.2 = 1/5.
7
0.25, 1/2, 0.6, 75%
0.25, 1/2 = 0.5, 0.6, 75% = 0.75. Smallest to largest: 0.25, 1/2, 0.6, 75%.
8
48%
0.45 = 0.45, 2/5 = 0.4, 48% = 0.48. The largest is 48%.
9
0.7
7/10 = 0.7 = 70%.
10
False
0.05 × 100 = 5, so 0.05 = 5%, not 50%. (50% = 0.5)