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Main Idea
NGSSS
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
Five-Minute Check
• Multiply fractions and mixed numbers.
MA.7.A.3.2 Add, subtract, multiply, and divide integers, fractions, and terminating decimals, and perform exponential operations with rational bases and whole number exponents including solving problems in everyday contexts.
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.
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?
A. 575 novels
B. 232 novels
C. 92 novels
D. 46 novels
Jeffrey owns 230 books. Of those books, of
them are novels. How many novels does Jeffrey own?
__25
A. C.
B. D.
__34
__25
At the school dance, of the students wore the
school colors; of them were in the 7th grade.
What fraction of the students at the school dance
that wore the school colors were in the 7th grade?