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.


Up next in Basic Math Skills (15 videos)

Do you and arithmetic add up to disaster? Sharpen your basic bath skills with the lessons in this Howcast video series.

You Will Need

  • Paper
  • A pencil


  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 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.