**Addition of Like Fractions and Addition of Unlike Fractions**

To add **Like Fractions**, we add the numerators and write the sum over the same denominator.

To add **Unlike Fractions**, first we have to change the Unlike Fractions, into equivalent Like Fractions, and then add the two equivalent Like Fractions

**Example on Addition of Like Fractions**

**Addition of like Fraction – Example 1**

Find the sum of 5/12 and 1/12 and reduce to its lowest term.

**Explanation:**

On Simplifying further,

HCF of 6 and 12 is 6

Dividing both Numerator and Denominator by their HCF i.e, 6

__Addition of like Fraction – Example 2__

Find the sum of 3/6 and 5/6 and reduce to its lowest term.

__Explanation:__

On Simplifying further,

HCF of 8 and 6 is 2

Dividing both Numerator and Denominator by their HCF i.e,

**Example on Addition of Unlike Fractions**

**Addition of Unlike Fraction – Example 1:**

Find the sum of 5/12 and 2/6 and reduce to its lowest term.

**Explanation:**

In order to add Unlike Fraction

Firstly, we have to change the Unlike Fraction, into equivalent Like Fractions, and then add the two equivalent Like Fractions

LCM of 12 and 6 is 12

Converting the Unlike Fraction into Equivalent Like Fraction

On Simplifying further,

HCF of 9 and 12 is 3

Dividing both Numerator and Denominator by their HCF i.e, 3

__Addition of Unlike Fraction – Example 2:__

Find the sum of 1/3 and 2/4 and reduce to its lowest term.

__Explanation:__

In order to add Unlike Fraction

Firstly, we have to change the Unlike Fraction, into equivalent Like Fractions, and then add the two equivalent Like Fractions

Take LCM of 3 and 4 is 12

Converting the Unlike Fraction into Equivalent Like Fraction

On Simplifying further,

HCF of 10 and 12 is 2

Dividing both Numerator and Denominator by their HCF i.e,