In order to divide a Rational Number by another Rational Number

We have to multiply first Rational Number with Reciprocal of the second Rational Number.

If and are two Rational Numbers,

then, ÷ = x

### Dividing Rational Numbers Examples

**Example 1**

Divide:

÷

**Explanation**

We have, ÷

In order to divide a Rational Number by another Rational Number

We have to multiply first Rational Number with Reciprocal of the second Rational Number.

We have ÷

(Reciprocal of is )

So we can say that,

÷

= x

=

To further simplify the given numbers into their lowest form, we would divide both the Numerator and Denominator by their HCF

HCF of 36 and 21 is 3

= =

**Dividing Rational Numbers Example 2**

Divide:

÷

**Explanation**

We have, ÷

In order to divide a Rational Number by another Rational Number

We have to multiply first Rational Number with Reciprocal of the second Rational Number

Since, Reciprocal of is

We can write the given equation as ÷

= x

To make the Denominator positive, we would multiply 12 and -6 by -1

Given equation would now be x

=

To further simplify the given numbers into their lowest form, we would divide both the Numerator and Denominator by their HCF

HCF of 168 and 30 is 6

= =

Hence, ÷ is