Name
Date
Class
Skill 17: Dividing a Fraction by a Whole Number
To divide a fraction by a whole number, write the whole number
as an improper fraction. Then divide the fractions.
Example
5
Find 6 3 in simplest form.
5
5
3
3 6
6
1
5
1
6 3
51
63
5
1
8
Write the whole number as an improper fraction.
Write the reciprocal of the divisor and change
the division to multiplication.
Multiply.
Check that your answer is in simplest form.
5
5
So, 6 3 1
.
8
Guided Practice
Find each quotient in simplest form.
3
1. Divide: 4 9.
a. 9 as an improper fraction is .
b. The reciprocal of 9 is .
b. The reciprocal of 4 is .
3
c. 4 9 3
c. 8 4 4
3. Divide: 5 6.
a. 6 as an improper fraction is .
© Prentice-Hall, Inc.
3
2. Divide: 8 4.
a. 4 as an improper fraction is .
4. Divide: 57 3.
a. 3 as an improper fraction is .
b. The reciprocal of 6 is .
b. The reciprocal of 3 is .
4
c. 5 6 5
c. 7 3 1
5. 5 3 3
6. 4 2 2
7. 3 9 2
8. 5 4 Section C: Dividing Fractions
Operations with Fractions 37
Name
Date
Class
Skill 17: Practice
Divide. Simplify each quotient.
3
1. 5 5 2
2. 7 4 9
3. 1
3
1
2
4. 3 10 3
5. 4 12 4
6. 5 10 1
7. 6 3 3
8. 5 2 6
9. 1
4
1
10. 35 4 5
11. 9 10 3
12. 8 6 3
13. 8 9 5
14. 6 2 3
15. 4 4 3
16. 10 6 4
17. 1
6
1
4
18. 5 8 5
19. 12 10 6
20. 7 9 6
21. 7 3 2
22. 3 5 5
23. 6 3 5
24. 8 2 Solve.
3
25. A carpenter cuts a board that is 4 meter long into
6 pieces of equal length. How long is each piece?
1
6
27. Find 7 8 in simplest form.
1
A 9
3
B 2
8
7
C 2
8
6
D 6 7
38 Operations with Fractions
1
Skill 17
1
28. Find 4 3 12 in simplest form.
1
F 4 6
1
G 4 3
1
H 5 5
1
J 6 2
Skill 12
Section C: Dividing Fractions
© Prentice-Hall, Inc.
26. Toni wants to store 2 gallon of sauce in 5 containers.
If she wants each container to have the same amount
of sauce, how much should she put in each container?