To subtract Fractions with same denominators **( Like Fractions )**, we subtract the numerators and write the difference over the same denominator.

To subtract Fractions with different denominators **(** **Unlike Fractions )**, first we have to change the Unlike Fractions, into equivalent Like Fractions, and then subtract the two equivalent Like Fractions

### Examples on Subtracting Fractions with like Denominators ( Like Fractions )

**Example 1**

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

**Solution**

Difference of Like Fraction =

=

=

Simplifying further,

HCF of 8 and 10 is 2

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

=

Hence, the difference of and =

**Example 2**

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

**Solution**

Difference of Like Fraction =

=

=

Simplifying further,

HCF of 6 and 8 is 2

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

Hence, the difference of and

### Examples on Subtracting Fractions with Unlike Denominators ( Unlike Fractions )

**Example 1**

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

**Solution**

To find the difference of Unlike Fraction

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

Take LCM of 6 and 3 is 6

Converting the Unlike Fraction into Equivalent Like Fraction

We have to multiply Numerator and Denominator of by 1

=

We have to multiply Numerator and Denominator of by 2

=

Now – =

Hence, the difference of and =

**Example 2**

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

**Solution**

To find the difference of Unlike Fraction

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

Take LCM of 2 and 3 is 6

Converting the Unlike Fraction into Equivalent Like Fraction

We have to multiply Numerator and Denominator of by 3

=

We have to multiply Numerator and Denominator of by 2

=

Now – =

Hence, the difference of and =

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