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**

**Question:**

Find the sum of and reduce to its lowest term.

**Explanation:**

Sum of Like Fraction =

Sum of Like Fraction =

Sum of Like Fraction =

Hence, the sum of

On Simplifying further,

HCF of 6 and 12 is 6

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

=

Hence, the sum of =

**Example on Addition of Unlike Fractions**

**Question:**

Find the sum of 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

We have to multiply , both the numerator and denominator of by 1

=

We have to multiply , both the numerator and denominator of by 2

=

Now + =

On Simplifying further,

HCF of 9 and 12 is 3

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

=

Hence, the sum of =

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