Multiplying Mixed Numbers

GardenExample 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:

multiply-mixed-example1-solution-step1.gif

Step 2:

multiply-mixed-example1-solution-step2.gif

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


Example 2: Multiply.

multiply-mixed-example2_problem.gif

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

Step 1: 

multiply-mixed-example2-solution-step1.gif

Step 2:

multiply-mixed-example2-solution-step2.gif


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.

multiply-mixed-example3_problem.gif

Step 1:

multiply-mixed-example3-solution-step1.gif

Step 2:

multiply-mixed-example3-solution-step2.gif

There are no common factors to divide out.


Example 4: Multiply

multiply-mixed-example4_problem.gif

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

Step 1:

multiply-mixed-example4-solution-step1.gif

Step 2:

multiply-mixed-example4-solution-step2.gif

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.

procedure_1.gif


Example 5: Multiply

multiply-mixed-example5_problem.gif

Step 1:

multiply-mixed-example5-solution-step1.gif

Step 2:

multiply-mixed-example5-solution-step2.gif


Example 6: Multiply.

multiply-mixed-example6_problem.gif

Solution:

multiply-mixed-example6-solution-step1.gif

There are no common factors to divide out.


Example 7: Multiply

multiply-mixed-example7_problem.gif

Solution:��

multiply-mixed-example7-solution-step1.gif


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.

1. multiply-mixed-exercise1.gif
 
 
ANSWER BOX:   

RESULTS BOX: 

2. multiply-mixed-exercise2.gif
 
 
ANSWER BOX:   

RESULTS BOX: 

3. multiply-mixed-exercise3.gif
 
 
ANSWER BOX:   

RESULTS BOX: 

4. multiply-mixed-exercise4.gif
 
 
ANSWER BOX:   

RESULTS BOX: 

5. multiply-mixed-exercise5.gif
 
 
ANSWER BOX:     

RESULTS BOX: 

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