# Multiplying Mixed Numbers

Example 1: Nina's garden is 4 and 2/3 feet long and 1 and 1/8 feet wide. What is the area of the garden?

Analysis: We will multiply these mixed numbers in order to solve this problem.

Solution: First we will convert each mixed number to an improper fraction. Then we can multiply.

Step 1:

Step 2:

Answer: The area of Nina's garden is 5 and 1/4 sq ft.

Example 2: Multiply.

Analysis: First convert each mixed number to an improper fraction. Then multiply.

Step 1:

Step 2:

The following is the procedure for multiplying mixed numbers..

Procedure: To multiply mixed numbers, first convert each mixed number to an improper fraction, then multiply. Simplify your result, if necessary.

Let's look at some examples using this procedure.

Example 3: Multiply.

Step 1:

Step 2:

There are no common factors to divide out.

Example 4: Multiply

Analysis: First, convert the whole number and the mixed number to an improper fraction. Then multiply.

Step 1:

Step 2:

Now that we know how to multiply fractions, we do not need to show each and every part of the process below in our examples.

Example 5: Multiply

Step 1:

Step 2:

Example 6: Multiply.

Solution:

There are no common factors to divide out.

Example 7: Multiply

Solution:

Summary: To multiply mixed numbers, first convert each mixed number to an improper fraction, then multiply. Simplify your result, if necessary.

### Exercises

Directions: In each exercise below, multiply the fractions by dividing out common factors. Be sure to simplify your result, if necessary. Click once in an ANSWER BOX and type in your answer; then click ENTER. After you click ENTER, a message will appear in the RESULTS BOX to indicate whether your answer is correct or incorrect. To start over, click CLEAR.

Note: To write the mixed number four and two-thirds, enter 4, a space, and then 2/3 into the form.