**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 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 =

__Addition of like Fraction – Example 2__

Find the sum of and and reduce to its lowest term.

__Explanation:__

Sum of Like Fraction =

=

=

Hence, the sum of and is

On Simplifying further,

HCF of 8 and 6 is 2

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

=

Hence, the sum of and =

**Example on Addition of Unlike Fractions**

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

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 =

__Addition of Unlike Fraction – Example 2:__

Find the sum of and 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

We have to multiply , both the numerator and denominator of by 4

=

We have to multiply , both the numerator and denominator of by 3

=

Now + =

On Simplifying further,

HCF of 10 and 12 is 2

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

=

Hence, the sum of and =

### Learn More..

**Proper Fraction | Improper Fraction | Mixed Fraction****Like Fractions & Unlike Fractions****Unit Fraction****Fraction in Simplest Form****Finding Fraction of a Whole Number****Comparing Fractions****What is an Equivalent Fraction****Finding Equivalent Fraction with given Denominator****Finding Equivalent Fraction with given Numerator****Convert Mixed Fraction to Improper Fraction****Convert Improper Fraction to Mixed Fraction****Subtraction of Like Fractions or Unlike Fractions**

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