Fraction of a Set

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

square metre or square meter
4
7
of the fowls are chickens.

2. There are 21 fowls.
4
7
of the fowls are chickens.
How many chickens are there?

Since the denominator is 7, divide the fowls into 7 equal groups.

square metre or square meter
4
7
of 21 = 12
There are 12 chickens.

3. What fraction of the set in each of the following is shaded?

a.    square metre or square meter

The fraction of the set that is shaded  = 
2
5
b.    square metre or square meter

The fraction of the set that is shaded  = 
2
3
c.    square metre or square meter

The fraction of the set that is shaded  = 
2
4
 = 
1
2
d.    square metre or square meter

The fraction of the set that is shaded  = 
6
10
 = 
3
5

4. Find the value of each of the following:

a.   
5
6
of 18


square metre or square meter
Divide 18 into 6 equal groups.
Five groups are
5
6
of 18.
   
5
6
of 18
5
6
 ×  18
5 x 18
6

90
6

=   15
b.   
1
5
of 20

   
1
5
of 20
1
5
 ×  20
1 x 5
20

5
20

=     4
c.   
1
4
of 7

   
1
4
of 7
1
4
 ×  7
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.

square metre or square meter
6 out of 10 children were not playing hopscotch.
6
10
 = 
3
5

3
5
of the children were not playing hopscotch.