Main Idea

Key Concept: Multiply Fractions

Example 1: Multiply Fractions

Example 2: Multiply Fractions

Example 3: Simplify Before Multiplying

Example 4: Multiply Mixed Numbers

Example 5: Real-World Example

Example 6: Real-World Example

• Multiply fractions and mixed numbers.

Multiply Fractions

Find Write in simplest form.

Simplify.

Answer:

Multiply the numerators.

Multiply the denominators.

Find Write in simplest form.

A.

B.

C.

D.

Find Write in simplest form.

Multiply Fractions

Multiply the numerators.

Multiply the denominators.

Write 6 as and as .

Simplify.

Answer: –2

Find Write in simplest form.

A.

B.

C.

D.

Simplify Before Multiplying

Find Write in simplest form.

Divide 12 and 4 by their GCF, 4.

Answer:

Multiply.

Find Write in simplest form.

A.

B.

C.

D.

Find Write in simplest form.

Multiply Mixed Numbers

Method 1 Rename the mixed number.

Estimate

Rename as an improper

fraction, . Divide 48 and 3 by

their GCF, 3.

Multiply Mixed Numbers

Multiply.

Simplify.

Method 2 Use mental math.

The mixed number is equal to 6 + . Use the

Distributive Property to multiply.

Multiply Mixed Numbers

Answer:

Check for Reasonableness

Find Write in simplest form.

A.

B.

C.

D.

Write the equation.

Rename the mixed number as an improper fraction.

Divide 868 and 4 by their GCF, 4. Divide 3 and 3 by their GCF, 3.

Answer: Mel’s father rode 217 miles.

Multiply. Then rename as a whole number.

DISTANCE Seth’s house is 8 miles from school.

Tina’s house is of this distance from school.

How far is Tina’s house from school?

A. 7 mi C. 8 mi

B. 7 mi D. 8 mi

CANNING Roberta canned 32 quarts of her

prize-winning apricot jam. She sold of them at

a street fair. Find the number of quarts she sold.

Write the equation.

Rename the mixed number as an improper fraction.

Divide 32 and 8 by their GCF, 8.

Multiply. Then rename as a whole number.

Answer: Roberta sold 20 quarts of jam.

A. 156 quarters C. 24 quarters

B. 132 quarters D. 12 quarters

MONEY Carmen had 144 quarters in a jar. She

sorted the quarters by year and found that of

the quarters were from 1976. How many quarters

were from the year 1976?