Lesson 8 of 10 · Grades 3 to 5
Practice: Mixed numbers and improper fractions
Practise both directions: turn improper fractions into mixed numbers and mixed numbers into improper fractions. Ten questions, with the working explained in each answer.
How to use this page
This page gives you ten more questions on the same idea as the lesson "Mixed numbers and improper 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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Write 9/4 as a mixed number.
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2 1/4. Four quarters make one whole, so 9/4 is 2 wholes and 1 quarter.
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Write 1 3/8 as an improper fraction.
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11/8. 1 = 8/8, and 8/8 + 3/8 = 11/8.
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Write 11/5 as a mixed number.
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2 1/5. 11 ÷ 5 = 2 remainder 1, so the answer is 2 wholes and 1 fifth.
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Write 4 1/3 as an improper fraction.
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13/3. 4 x 3 = 12, and 12 + 1 = 13 thirds.
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Write 15/7 as a mixed number.
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2 1/7. 15 ÷ 7 = 2 remainder 1.
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Write 2 5/6 as an improper fraction.
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17/6. 2 x 6 = 12, and 12 + 5 = 17 sixths.
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How many sixths are in 3?
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18. 3 x 6 = 18.
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How many halves are in 4 1/2?
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9. 4 wholes are 8 halves, plus 1 more half.
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Which is larger: 2 1/2 or 7/3?
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2 1/2. As sixths, 2 1/2 = 15/6 and 7/3 = 14/6.
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A baker has 9 half-cakes. Write the amount as a mixed number.
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9/2 = 4 1/2 cakes.