1. Dividing Fractions and Mixed Numbers
COURSE 2 LESSON 4-5
Find 4 ÷ 1 . 2 3 4
= ÷ 14 3 7 4
Write the mixed numbers as improper fractions. 2 3 4 ÷ 1
Multiply by the reciprocal of , which is .
= • 14 3 4 7 =
14 • 4
3 • 7 2 1
Divide 14 and 7 by their GCF, which is 7. = 8 3
Multiply.
= 2 2 3
Write as a mixed number.
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2. Dividing Fractions and Mixed Numbers
COURSE 2 LESSON 4-5
You have a piece of yarn that is ft long. You need to cut it into strips that are 1 ft long. How many strips will you have? 1 2 1 4 1 4 2
To find how many 1 -ft long strips are in ft, divide by 1 2 4 ÷
12 ÷ 1, or 12
Estimate 12
Write the mixed numbers as improper fractions. 1 2 4
÷ = ÷ 12 25 5
Multiply the reciprocal of , which is . 25 2 4 5
= • =
25 • 4
2 • 5
Divide 25 and 5 by their GCF, 5. Divide 4 and 2 by their GCF, 2. 1 2 5
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3. Dividing Fractions and Mixed Numbers
COURSE 2 LESSON 4-5
(continued)
= = 10 10 1
Simplify.
There are ten ft strips of yarn in ft. 1 4 2
Check for Reasonableness The answer, 10, is close to the estimate, 12.
The answer is reasonable.
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4. Dividing Fractions and Mixed Numbers
COURSE 2 LESSON 4-5
Find each quotient.
1. ÷ ÷
÷ ÷ 1 8 3 4 2 3 3 8 1 6 1 7 9 5 6 2 5 2 7 1 5 55 72 21 3 7
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