Lesson 3 of 10 · Grades 3 to 5
Practice: Equivalent fractions
You know that multiplying the top and the bottom by the same number makes an equivalent fraction. These ten questions practise that rule in both directions.
How to use this page
This page gives you ten more questions on the same idea as the lesson "Equivalent fractions". Work through them at your own speed. Write your answer down or say it out loud before you open the answer box, so you give yourself a real chance to think.
If a question feels hard, go back to the lesson and look at the worked example again. Getting a question wrong is useful; it shows you the part that needs one more look.
Practice questions
Answer all ten questions in your notebook or in your head. Then open each answer to check your work.
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1/4 = ?/8
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2/8. Multiply the top and the bottom by 2: 1 x 2 = 2 and 4 x 2 = 8.
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2/3 = ?/9
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6/9. Multiply the top and the bottom by 3.
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5/8 = ?/16
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10/16. Multiply the top and the bottom by 2.
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3/5 = ?/15
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9/15. Multiply the top and the bottom by 3.
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4/6 = ?/3
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2/3. Divide the top and the bottom by 2.
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Are 6/8 and 3/4 equivalent?
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Yes. Multiply the top and the bottom of 3/4 by 2 to get 6/8.
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Are 3/4 and 5/6 equivalent?
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No. 3/4 = 9/12 and 5/6 = 10/12, so 5/6 is larger.
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Write two fractions that are equivalent to 1/2.
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Any two of 2/4, 3/6, 4/8, 5/10, 6/12 and so on. Multiply the top and the bottom of 1/2 by the same number each time.
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7/10 = ?/30
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21/30. Multiply the top and the bottom by 3.
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A recipe needs 2/3 cup of sugar. The measuring cup is marked in twelfths. Which mark do you fill to?
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8/12, because 2/3 = 8/12.