# 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.

Close
X
Playback

### 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.

• 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.