Unit 2.2 Dividing Fractions!!!!. 2.7 Dividing Fractions Objectives Slide 2.7- 2 1.Find the reciprocal of a fraction. 2.Divide fractions. 3. Solve application.

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Presentation transcript:

Unit 2.2 Dividing Fractions!!!!

2.7 Dividing Fractions Objectives Slide Find the reciprocal of a fraction. 2.Divide fractions. 3. Solve application problems in which fractions are divided.

Slide Reciprocal

Find the reciprocal of each fraction. a. b. c. d. 2 Parallel Example 1 Finding Reciprocals The reciprocal is Slide The reciprocal is

Slide

Slide

Divide. Write answers in lowest terms and as mixed numbers where possible. Dividing One Fraction by Another The reciprocal of Slide Reciprocals Change division to multiplication 2 1

Divide Slide Dividing One Fraction by Another 1 4

Divide. Write all answers in lowest terms and as whole or mixed numbers where possible. a. Dividing with a Whole Number Write 9 as 9/1. Use the reciprocal of ¼ which is 4/1. Slide

Divide. Write all answers in lowest terms and as whole or mixed numbers where possible. b. Dividing with a Whole Number Write 4 as 4/1. The reciprocal of 4/1 is ¼. Slide

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. Slide

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. Applying Fraction Skills Slide

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. Applying Fraction Skills Slide