Example 1 Dividing a Fraction by a Fraction 5 10 5 21 a. ÷ = • 6 10 6 21 1 7 5 • 21 = 6 • 10 2 23 = , or.

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Transcript Example 1 Dividing a Fraction by a Fraction 5 10 5 21 a. ÷ = • 6 10 6 21 1 7 5 • 21 = 6 • 10 2 23 = , or.

Example 1
Dividing a Fraction by a Fraction
5 10
5 21
a.
÷
= •
6 10
6 21
1 7
5 • 21
=
6 • 10
2 2
7
3
= , or 1
4
4
Example 1
Dividing a Fraction by a Fraction
–2
7
9
9
b.
=
÷
•
14
7
14 –2
1
9 • 7
=
14 • ( –2 )
2
9
1
, or – 2
=
–4
4
Example 2
Dividing a Fraction by an Integer
TRAIL MIX
You are making 5 bag lunches. You have 3 pound of
4
trail mix to divide equally. How much mix should you put
in each lunch?
SOLUTION
3
3 1
÷ 5 = •
4 5
4
3•1
=
4•5
1
1
5 • = 1, so the reciprocal of 5 is .
5
5
Use rule for multiplying fractions.
Example 2
Dividing a Fraction by an Integer
3
=
20
Multiply.
ANSWER
You should put
3
pound of trail mix in each lunch.
20
Guided Practice
for Examples 1 and 2
Find the quotient. Simplify if possible.
7
5
÷ –
1.
8
10
2
2.
÷8
15
3 –7
3. – ÷
4 12
6
÷2
4.
7
ANSWER
25
–
28
ANSWER
1
60
ANSWER
9
2
or 1
7
7
ANSWER
3
7
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?
ANSWER
1
lb
8