example 1 dividing a fraction by a fraction = 10 21 6 5 4 7 = 4 3 1, or = 10 2 6262 7 21 1515 ÷ 6 5...

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Example 1 Dividing a Fraction by a Fraction = 10 21 6 5 4 7 = 4 3 1 , or = 10 2 6 2 7 2 1 1 5 ÷ 6 5 21 10 a .

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Page 1: Example 1 Dividing a Fraction by a Fraction = 10 21 6 5 4 7 = 4 3 1, or = 10 2 6262 7 21 1515 ÷ 6 5 21 10 a

Example 1 Dividing a Fraction by a Fraction

=10

21•

6

5

4

7= 4

31, or

=102

•62

721

•15

÷6

5

21

10a.

Page 2: Example 1 Dividing a Fraction by a Fraction = 10 21 6 5 4 7 = 4 3 1, or = 10 2 6262 7 21 1515 ÷ 6 5 21 10 a

Example 1 Dividing a Fraction by a Fraction

= 4

12, or –

9

4–

b. ÷14

9

7

2–

=•

179

•142

( )2–

= •14

9 7

2–

Page 3: Example 1 Dividing a Fraction by a Fraction = 10 21 6 5 4 7 = 4 3 1, or = 10 2 6262 7 21 1515 ÷ 6 5 21 10 a

Example 2 Dividing a Fraction by an Integer

You are making 5 bag lunches. You have pound of

trail mix to divide equally. How much mix should you

put in each lunch?

TRAIL MIX

SOLUTION

÷4

35 = •

4

3

5

1 so the reciprocal of 5 is . =•

51

1,551

5•4

1•3Use rule for multiplying fractions.=

43

Page 4: Example 1 Dividing a Fraction by a Fraction = 10 21 6 5 4 7 = 4 3 1, or = 10 2 6262 7 21 1515 ÷ 6 5 21 10 a

Example 2 Dividing a Fraction by an Integer

Multiply.=20

3

ANSWER

You should put pound of trail mix in each lunch.203

Page 5: Example 1 Dividing a Fraction by a Fraction = 10 21 6 5 4 7 = 4 3 1, or = 10 2 6262 7 21 1515 ÷ 6 5 21 10 a

Guided Practice

Find the quotient. Simplify if possible.

for Examples 1 and 2

85÷

10

7–1.

8÷15

22.

12

7–÷

3

4–3.

2÷7

64.

ANSWER60

1

ANSWER7

3

ANSWER7

21

7

9or

ANSWER28

25–

Page 6: Example 1 Dividing a Fraction by a Fraction = 10 21 6 5 4 7 = 4 3 1, or = 10 2 6262 7 21 1515 ÷ 6 5 21 10 a

Guided Practice for Examples 1 and 2

5. WHAT IF? In Example 2, suppose you are making 6 bag lunches. How much mix should you put in each lunch?

ANSWER8

1lb