Fraction of a Set
1. There are 7 fowls.
4 out of the 7 fowls are chickens.
What fraction of the fowls are chickens?

| 4 |
| 7 |
2. There are 21 fowls.
| 4 |
| 7 |
How many chickens are there?
Since the denominator is 7, divide the fowls into 7 equal groups.

of 21 = 12
There are 12 chickens.

| 4 |
| 7 |
There are 12 chickens.
3. What fraction of the set in each of the following is shaded?
a. 
The fraction of the set that is shaded =

The fraction of the set that is shaded =
| 2 |
| 5 |
b. 
The fraction of the set that is shaded =

The fraction of the set that is shaded =
| 2 |
| 3 |
c. 
The fraction of the set that is shaded =
=

The fraction of the set that is shaded =
| 2 |
| 4 |
| 1 |
| 2 |
d. 
The fraction of the set that is shaded =
=

The fraction of the set that is shaded =
| 6 |
| 10 |
| 3 |
| 5 |
4. Find the value of each of the following:
a.
of 18
of 18
=
× 18
=
=
= 15
| 5 |
| 6 |
Divide 18 into 6 equal groups.
Five groups are
of 18.
Five groups are
| 5 |
| 6 |
| 5 |
| 6 |
=
| 5 |
| 6 |
=
| 5 x 18 |
| 6 |
=
| 90 |
| 6 |
= 15
b.
of 20
of 20
=
× 20
=
=
= 4
| 1 |
| 5 |
| 1 |
| 5 |
=
| 1 |
| 5 |
=
| 1 x 5 |
| 20 |
=
| 5 |
| 20 |
= 4
c.
of 7
of 7
=
× 7
=
=
= 7 ÷ 4
= 1.75
| 1 |
| 4 |
| 1 |
| 4 |
=
| 1 |
| 4 |
=
| 1 x 7 |
| 4 |
=
| 7 |
| 4 |
= 7 ÷ 4
= 1.75
5. There were 10 children in the playground. 4 of them were playing hopscotch. What fraction of the children were not playing hopscotch? Give your answer in its simplest form.

6 out of 10 children were not playing hopscotch.
| 6 |
| 10 |
| 3 |
| 5 |
| 3 |
| 5 |