# EXAMPLES To divide by a fraction, multiply by its multiplicative inverse... . 5 .

Name
7-9
Date
Dividing Fractions and Mixed
Numbers (pages 305–307)
To divide by a fraction, multiply by its multiplicative inverse or reciprocal.
Dividing by
a Fraction
a
c
a
d
You can rewrite as , where b, c, and d 0.
b
d
b
c
EXAMPLES
2
3
A Find .
7
5
2
7
3
5
2
7
10
21
5
3
1
5
3
is the multiplicative inverse of
3
.
5
Multiply.
4
B Find 3 5
.
2
9
1
4
7
2
49
9
17
2
9
49
3
5
2
9
Rewrite the improper fractions as mixed numbers.
The GCF of 7 and 49 is 7.
7
9
14
Multiply.
Try These Together
3
2
1. Find 3.
8
2
2. Find 5 3 .
HINT: Rewrite 3 as 1
.
3
HINT: Rewrite 2
3
as 3
.
2
PRACTICE
Divide. Write each quotient in simplest form.
5
4
3. 7 7
8
3
4. 4
11
4
2
5. 5 2 3
4
4
6. 4 7 5
Solve each equation.
4
7. r 2
7
C
11. Standardized Test Practice Taina has 3 9 yards of material that she
wants to split into 4 pieces of equal length for a project. How long will
each piece be?
2
1
3
D 4 yd
C 3
yd
36
6. 5 7
5
7. 7
2
8. 117
32
63
3
9. 1 4
1
10. 3
2
11. A
5. 10
B 1 7 yd
32
7
A 9 yd
4. 33
C
B
A
1
8.
3. 1 4
A
7.
3
B
B
6.
1
C
A
5.
2. 5
4.
1
1
10. w 3 2
5
2
9. t 6 3
1
B
3.
8
1
8. 9 3 s
4
Parent and Student Study Guide
Mathematics: Applications and Connections, Course 2