Main Idea

Key Concept: Divide by Fractions

Example 1: Divide by Fractions

Example 2: Divide by Mixed Numbers

Example 3: Real-World Example

• Divide fractions and mixed numbers.

Divide by Fractions

Find Write in simplest form.

Estimate ■

Think How many groups of are in 1?

Divide by Fractions

Multiply by the reciprocal of

which is

Divide out the common factors.

Divide by Fractions

Answer:

Check for Reasonableness

Find Write in simplest form.

A.

B.

C.

D.

Find Write in simplest form.

Divide by Mixed Numbers

Estimate

Multiply by the reciprocal of

which is .

Rename a fraction greater than one.

Divide by Mixed Numbers

Divide out common factors.

Multiply.

Answer:

Check for Reasonableness

Find Write in simplest form.

A.

B.

C.

D.

To find out how many times it will need to be

restocked with lids, divide

FACTORY A bottling machine needs to be

restocked with new lids every 2 hours. If the

machine runs 19 hours, how many times will it

have to be restocked with lids?

__34

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Estimate Use compatible numbers. 18 ÷ 3 ≈ 6

Rename the mixed numbers to fractions greater than one.

Multiply by the reciprocal of

which is .

Divide out common factors.

Check for Reasonableness 7 is close to 6.

Answer: The lids will need to be restocked 7 times.

Multiply.

BAKING Andrea is making brownies for her

basketball team’s bake sale. The recipe calls for

cup flour. She has 4 cups flour in all. How

many batches of brownies can she make?

__34

__12

A. 5 batches C. 6 batches

B. 5 batches D. 6 batches__12

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