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Multiplying mixed numbers worksheets Grades 5–6

Change mixed numbers to improper fractions, then multiply.

The front of the free multiplying mixed numbers worksheet

Free · Worked example · 44 problems · Answer key · US Letter

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How to do it

Change mixed numbers to improper fractions first.

415×213=215×734\tfrac{1}{5} \times 2\tfrac{1}{3} = \dfrac{21}{5} \times \dfrac{7}{3}change mixed numbers to improper fractions
215×73=21×75×3=14715\dfrac{21}{5} \times \dfrac{7}{3} = \dfrac{21 \times 7}{5 \times 3} = \dfrac{147}{15}numerator × numerator, denominator × denominator
14715=945\dfrac{147}{15} = 9\tfrac{4}{5}simplify (÷ 3)

Example problems

  1. 113×112=1\tfrac{1}{3} \times 1\tfrac{1}{2} =
  2. 123×113=1\tfrac{2}{3} \times 1\tfrac{1}{3} =
  3. 423×312=4\tfrac{2}{3} \times 3\tfrac{1}{2} =
  4. 116×313=1\tfrac{1}{6} \times 3\tfrac{1}{3} =

Multiplying and dividing fractions

  1. Multiplying fractions by whole numbers
  2. Multiplying fractions
  3. Multiplying fractions by cancelling first
  4. Multiplying mixed numbers
  5. Reciprocals
  6. Dividing fractions
  7. Dividing mixed numbers and whole numbers
  8. Fractions: all four operations