How to Multiply Mixed Numbers

Do you need two and a half dozen cookies, but a recipe only makes one dozen? Don’t let the daunting task of multiplying mixed numbers get in the way.

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You Will Need

  • Paper
  • A pencil

Steps

  1. Step 1

    Write the numbers down

    Write your mixed numbers down on a piece of paper to convert them to improper fractions.

  2. Step 2

    Convert to improper fraction

    Multiply the denominator – the bottom number of the fraction – by the whole number, and then add the top number of the fraction – the numerator. Write the product on top of the denominator.

  3. For example, the mixed numbers in two and a half times three and two-fifths convert to the improper fractions five halves and seventeen-fifths.

  4. Step 3

    Write the improper fractions

    Write the improper fractions side-by-side on your paper.

  5. Step 4

    Multiply the numerators

    Multiply the numerators and write the product as the numerator of your solution.

  6. The product of five halves times seventeen-fifths will have a numerator of 85.

  7. Step 5

    Multiply the denominators

    Multiply the denominators and write the product as the denominator of your solution.

  8. The product of five halves × seventeen-fifths will have a denominator of 10.

  9. Step 6

    Simplify

    Simplify the resulting fraction and write the solution as a mixed number.

  10. The Rhind Mathematical Papyrus, from around 1650 B.C.E., contains 84 mathematical problems involving administrative and building works.

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