1. Chapter 2 Multiplying and Dividing Fractions © 2010 Pearson Education, Inc. All rights reserved.

2. 2.7 Dividing Fractions Objectives Slide 2.7- 2 1.Find the reciprocal of a fraction. 2.Divide fractions. 3. Solve application problems in which fractions are divided. Copyright © 2010 Pearson Education, Inc. All rights reserved.

3. Slide 2.7- 3 Reciprocal Copyright © 2010 Pearson Education, Inc. All rights reserved.

4. Find the reciprocal of each fraction. a. b. c. d. 2 Parallel Example 1 Finding Reciprocals The reciprocal is Slide 2.7- 4 The reciprocal is Copyright © 2010 Pearson Education, Inc. All rights reserved.

5. Slide 2.7- 5 Copyright © 2010 Pearson Education, Inc. All rights reserved.

6. Slide 2.7- 6 Copyright © 2010 Pearson Education, Inc. All rights reserved.

7. Divide. Write answers in lowest terms and as mixed numbers where possible. Parallel Example 2 Dividing One Fraction by Another The reciprocal of Slide 2.7- 7 Reciprocals Change division to multiplication 2 1 Copyright © 2010 Pearson Education, Inc. All rights reserved.

8. Divide Parallel Example 2 Slide 2.7- 8 Dividing One Fraction by Another 1 4 Copyright © 2010 Pearson Education, Inc. All rights reserved.

9. Divide. Write all answers in lowest terms and as whole or mixed numbers where possible. a. Parallel Example 3 Dividing with a Whole Number Write 9 as 9/1. Use the reciprocal of ¼ which is 4/1. Slide 2.7- 9 Copyright © 2010 Pearson Education, Inc. All rights reserved.

10. Divide. Write all answers in lowest terms and as whole or mixed numbers where possible. b. Parallel Example 3 Dividing with a Whole Number Write 4 as 4/1. The reciprocal of 4/1 is ¼. Slide 2.7- 10 Copyright © 2010 Pearson Education, Inc. All rights reserved.

11. The manager of a local feed mill must fill a 20-gallon container with feed. He only has a 5/8 gallon container to use. How many times must he fill the 5/8 gallon container and empty it into the 20-gallon container? Step 1 Read the problem. We need the number of times the manager needs to use a 5/8 gallon container in order to fill a 20-gallon container. Step 2 Work out a plan. We can solve the problem by finding the number of times 20 can be divided by 5/8. Parallel Example 4 Applying Fraction Skills Slide 2.7- 11 Copyright © 2010 Pearson Education, Inc. All rights reserved.

12. The manager of a local feed mill must fill a 20-gallon container with feed. He only has a 5/8 gallon container to use. How many times must he fill the 5/8 gallon container and empty it into the 20-gallon container? Step 3 Estimate a reasonable answer. Round 5/8 to 1 gallon. He would need to use the container about 20 times. Step 4 Solve the problem. Parallel Example 4 Applying Fraction Skills Slide 2.7- 12 Copyright © 2010 Pearson Education, Inc. All rights reserved.

13. The manager of a local feed mill must fill a 20-gallon container with feed. He only has a 5/8 gallon container to use. How many times must he fill the 5/8 gallon container and empty it into the 20-gallon container? Step 5 State the answer. The manager must fill the container 32 times. Step 6 Check. The exact answer is close to our estimate. Parallel Example 4 Applying Fraction Skills Slide 2.7- 13 Copyright © 2010 Pearson Education, Inc. All rights reserved.