Equivalent Fractions

What are equivalent fractions?

square centimetre or square metre
1 out of 2 parts
=  2 out of 4 parts
=  4 out of 8 parts
Or,
1
2

 = 

2
4

 = 

4
8

  are equivalent fractions.

1. What are some of the equivalent fractions of
1
4
?

Some of the equivalent fractions of
1
4
are
2
8
and
3
12

2. What are the first 3 equivalent fractions of
2
5
?

A short-cut way to find an equivalent fraction is to multiply the numerator and denominator by the same number.
2
5

 = 

4
10

 = 

6
15

 = 

8
20
The first 3 equivalent fractions of
2
5
are
4
10
,
6
15
and
8
20

3. Find the missing numbers in the equivalent fractions below:
12
18
=
6
?
,
12
18
=
?
3

Another way of finding equivalent fractions is to divide the numerator and denominator by the same number.