Finding the Reciprocal
Instructions: Write the reciprocal of each fraction by switching the top and bottom numbers.
1
3
8
reciprocal:
8
3
2
8
12
reciprocal:
3
1
5
reciprocal:
4
6
15
reciprocal:
5
3
4
reciprocal:
6
20
35
reciprocal:
7
2
7
reciprocal:
Instructions:
Multiply each fraction by its reciprocal to get a ‘whole fraction’ which is just 1.
1
2 × 5
= 10 = 1
5
2
10
2
4 ×
5
=
= 1
3
4 ×
7
=
= 1
4
5 ×
3
=
= 1
5
3 ×
7
=
= 1
6
1 ×
11
=
= 1
7
6 ×
8
=
= 1
Dividing Fractions part 1
Instructions: Solve these division problems by multiplying by the reciprocal. Use the
guides to help you. You do not need to simplify your answers.
1
3 ÷ 2
4 5
3 × 5 = 15
4
2
8
2
5 ÷ 2
4 3
5 ×
4
5
3
3 ×
5
1 ×
7
=
3 ÷ 1
5 6
6
=
1 ÷ 1
7 4
4
4 ×
8
8 ×
13
=
4 ÷ 5
8 1
7
=
8 ÷ 1
13 2
=
5 ÷ 3
8 4
5 ×
8
=
Dividing Fractions part 2
Instructions: Solve these division problems by multiplying by the reciprocal. You do not
need to simplify your answers.
1
2
5 ÷ 3
6 4
5
4 ÷ 2
7 3
1 ÷ 3
6 7
1 x 7 = 7
6
3 18
3
5 ÷ 1
12 4
6
9 ÷ 5
2 1
4
4 ÷ 5
11 7
7
6 ÷ 5
5 3
Dividing a Fraction and Whole Number
Instructions: Solve these division problems. You do not need to simplify your answers in
this exercise set.
1
3 ÷2 = 3
÷ 2
5
5
1
3 x 1 = 3
2 10
5
2
5÷ 3 =
8
3
1 ÷3 =
4
4
10 ÷ 9 =
2
5
6 ÷5 =
7
6
1 ÷4 =
4
7
9÷ 4 =
7