Name
Reteaching
9-2
Dividing a Whole Number by
a Fraction
Number
!
Reciprocal
"
Product
3
!
1
_
"
1
1
_
!
"
1
"
1
8
2
_
3
!
3
8
_
1
3
_
2
Find 14 # _47.
Step 1
Step 2
Step 3
Rewrite the division as
multiplication using the
reciprocal of the divisor.
Divide out common factors
if possible. Then multiply.
If your answer is an
improper fraction, change it
to a mixed number.
The reciprocal of _47 is _74 .
14
__
7
1
! _74
14 ÷ _47 = 14 × _74
2
"
49
__
2
49 " 24_
1
__
2
2
Find the reciprocal of each fraction or whole number.
1. _57
2. 11
3. _92
Find each quotient. Simplify if possible.
4. 12 # _45
5. 2 ÷ _14
8
6. 16 ÷ __
10
7. 24 # _34
8. 18 # _89
10
9. 25 ÷ __
11
10. 36 # _89
11. 42 # _78
12. 40 ÷ _45
13. Karolyn makes rolls for a friend’s dinner party. She uses 3 lb of
butter. Each stick of butter weighs _14 lb. How many sticks of butter
does Karolyn need to make her rolls?
© Pearson Education, Inc. 6
Reteaching 9-2
To divide a whole number by a fraction, you can multiply the whole
number by the reciprocal of the fraction. The reciprocal of a number
has the numerator and the denominator reversed. The product of a
number and its reciprocal is 1.
32
Topic 9
Name
Reteaching
9-2
Dividing a Whole Number by
a Fraction
Number
!
Reciprocal
"
Product
3
!
1
_
"
1
1
_
!
"
1
"
1
8
2
_
3
3
8
_
1
3
_
2
!
Find 14 # _47.
Step 1
Step 2
Step 3
Rewrite the division as
multiplication using the
reciprocal of the divisor.
Divide out common factors
if possible. Then multiply.
If your answer is an
improper fraction, change it
to a mixed number.
The reciprocal of _47 is _74 .
14
__
7
1
! _74
14 ÷ _47 = 14 × _74
"
2
49
__
2
49 " 24_
1
__
2
2
Find the reciprocal of each fraction or whole number.
_7
1. _57
5
2. 11
__
1
11
3. _92
_2
9
Find each quotient. Simplify if possible.
4. 12 # _45
7. 24 # _34
10. 36 # _89
15
32
40_12
5. 2 ÷ _14
8. 18 # _89
11. 42 # _78
8
20_14
48
8
6. 16 ÷ __
10
10
9. 25 ÷ __
11
12. 40 ÷ _45
20
27_12
50
13. Karolyn makes rolls for a friend’s dinner party. She uses 3 lb of
butter. Each stick of butter weighs _14 lb. How many sticks of butter
does Karolyn need to make her rolls?
12 sticks
32
Topic 9
© Pearson Education, Inc. 6
Reteaching 9-2
To divide a whole number by a fraction, you can multiply the whole
number by the reciprocal of the fraction. The reciprocal of a number
has the numerator and the denominator reversed. The product of a
number and its reciprocal is 1.