Mixed numbers to improper fractions

  • Level: Grade 4 – Grade 5
  • Free
  • Printable
  • Answer key included

Multiply the whole number by the denominator, add the numerator, and keep the same denominator: 3 1/3 = (3 × 3 + 1)/3 = 10/3.

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Grade 4 – Grade 5
Mixed numbers to improper fractions

Write each mixed number as an improper fraction.

Name Date Score / 20
  1. 1.
    6112=
  2. 2.
    916=
  3. 3.
    214=
  4. 4.
    413=
  5. 5.
    51112=
  6. 6.
    734=
  7. 7.
    227=
  8. 8.
    81112=
  9. 9.
    7710=
  10. 10.
    629=
  11. 11.
    525=
  12. 12.
    816=
  13. 13.
    115=
  14. 14.
    289=
  15. 15.
    213=
  16. 16.
    718=
  17. 17.
    9911=
  18. 18.
    4111=
  19. 19.
    7712=
  20. 20.
    2110=
MathSheetLab · mathlabs.pages.devWorksheet #179924
Grade 4 – Grade 5
Mixed numbers to improper fractionsAnswer key
  1. 1.
    6112=7312
  2. 2.
    916=556
  3. 3.
    214=94
  4. 4.
    413=133
  5. 5.
    51112=7112
  6. 6.
    734=314
  7. 7.
    227=167
  8. 8.
    81112=10712
  9. 9.
    7710=7710
  10. 10.
    629=569
  11. 11.
    525=275
  12. 12.
    816=496
  13. 13.
    115=65
  14. 14.
    289=269
  15. 15.
    213=73
  16. 16.
    718=578
  17. 17.
    9911=10811
  18. 18.
    4111=4511
  19. 19.
    7712=9112
  20. 20.
    2110=2110
MathSheetLab · mathlabs.pages.devWorksheet #179924

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Worked example

6512=
  1. Multiply the whole number by the denominator: 6 × 12 = 72.
  2. Add the numerator: 72 + 5 = 77.
  3. Keep the denominator 12: 6 and 5/12 = 77/12.

Answer: 77/12

Teaching tips

  • Draw circles cut into equal parts for the first problems to show why it works.

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