Simplifying Fractions

What is meant by simplifying a fraction?

Simplifying a fraction means writing its equivalent fraction in a simpler form.

1. Write
6
12
in its simplest form.

A short-cut way to simplifying a fraction is to divide its numerator and denominator by the same number.
We can simplify the fraction further as below.
The simplest form of
6
12
is
1
2
.

2. Find the missing numerator below:
10
15
=
?
3

Compare the denominators.
15 is divided by 5 to get 3.
So, we must also divide the numerator by 5 to get a simplified equivalent fraction.
10
15
=
2
3
So, the missing numerator is 2.

3. Is
4
6
the simplest equivalent fraction of
8
12
?
     If not, what is the simplest equivalent fraction of
8
12
?

We use division to find a fraction in its simplest form.
We can simplify
4
6
further.
So,
4
6
is not the simplest equivalent fraction of
8
12
.
The simplest equivalent fraction of
8
12
is
2
3
.