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
Find Write in simplest form.
Simplify.
Answer:
Multiply the numerators.
Multiply the denominators.
Find Write in simplest form.
Multiply Fractions
Multiply the numerators.
Multiply the denominators.
Write 6 as and as .
Simplify.
Answer: –2
Simplify Before Multiplying
Find Write in simplest form.
Divide 12 and 4 by their GCF, 4.
Answer:
Multiply.
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.
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.
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?