### The addition of fractions can discuss in a few categories

There is only one golden rule that we have to follow when the adding  fractions,

There should be a common denominator between the fractions

Example 01:

### Like Denominators

Yellow color area :

Green color area :

Let’s express the shaded area as a fraction,

Here we have a common denominator which is 10.

Write the common denominator.

Add the numerators 3 + 5 = 8

In our answer 8 is the numerator and 10 is the denominator. We can also verify the answer by looking at the above figure.

Example 02:

### Unlike Denominators

Here we have an unlike denominator, Which means we have a common denominator, So we have to make one.

Denominators are 8 and 4. We can convert 4 into 8 by multiplying 4 by 2.

We have to multiply both numerator and denominator by the same number.

By doing so we will get an equivalent fraction for 1/4 with the denominator 8.

Example 03:

In this example, we have to change both the denominators, because we can’t change 3 to 5 or 5 to 3.

Denominators are 3 and 5. Let’s find the Least Common Multiple (LCM) of 3 and 5.

There are a few methods to find LCM. Here we have mentioned only one way. Here you can learn about other methods of finding LCM.

Multiples of 3:    3, 6, 9, 12, 15, 18, 21, 24, 27, 30, 33

Multiples of 5:    5, 10, 15, 20, 25, 30, 35, 40, 45

LCM is 15.

Our new denominator is 15.

### Addition of Improper Fractions with Like Denominator

Example 01:

We cannot keep answer as an improper fraction. Convert it into a mixed number.

Example 02:

Example 03: