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Mixed Numbers Practice Problems with Answers

Five solved conversions in both directions, then unlimited practice. Type mixed numbers with a space, like 2 1/3.

5 mixed number problems with answers

Each one shows the answer and the working. Try it yourself first, then check.

  1. 1.Write 7/3 as a mixed number

    Answer: 2 1/3

    7 ÷ 3 = 2 remainder 1. The whole number is 2 and the remainder goes over 3.

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  2. 2.Write 17/5 as a mixed number

    Answer: 3 2/5

    17 ÷ 5 = 3 remainder 2. The whole number is 3 and the remainder goes over 5.

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  3. 3.Write 22/6 as a mixed number

    Answer: 3 2/3

    22 ÷ 6 = 3 remainder 4, giving 3 4/6. Simplify the fraction part: 4/6 = 2/3.

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  4. 4.Write 2 3/4 as an improper fraction

    Answer: 11/4

    Multiply the whole number by the denominator: 2 × 4 = 8. Add the numerator: 8 + 3 = 11. Keep the denominator: 11/4.

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  5. 5.Write 5 2/7 as an improper fraction

    Answer: 37/7

    Multiply: 5 × 7 = 35. Add the numerator: 35 + 2 = 37. Keep the denominator: 37/7.

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Practice: convert the fraction

Score: 0 / 0

 

Converting mixed numbers and improper fractions

Improper to mixed: divide, keep the remainder over the denominator, and simplify the fraction part if you can.

Mixed to improper: whole × denominator + numerator, all over the same denominator.

Check your work with the improper fraction to mixed number converter.

Mixed numbers: common questions

Divide the numerator by the denominator. The quotient is the whole number and the remainder goes over the original denominator. 17/5: 17 ÷ 5 = 3 remainder 2, so 17/5 = 3 2/5.

Multiply the whole number by the denominator, add the numerator, and keep the denominator. 2 3/4 becomes (2 × 4 + 3)/4 = 11/4.

Put a space between the whole number and the fraction, like 2 1/3. Without the space, 21/3 is read as twenty-one thirds.

Multiplying and dividing mixed numbers only works reliably once they are improper fractions. Converting back to a mixed number at the end makes the answer easier to picture.