When
dividing fractions, just multiply the dividend by the divisor’s reciprocal. For example to find the reciprocal of a fraction, interchange the numerator and the denominator. The reciprocal of 3/5 is 5/3, the division takes the form of:

a/b ÷ c/d = a/b × d/c or (dividend) ÷ (divisor)

Example:

Divide, simplify, if necessary.

4/9 ÷ 2/12

Solution

Rewrite the problem by writing the reciprocal of the divisor, and changing the division sign to a multiplication sign

4/9 × 12/2

After cancellation or simplifying the answer is

8/3 = 2 2/3

The answer is 2 2/3, which is the simplified fraction in the simplest form.

Example

Divide 2/3 **÷** 4/9

Solution

2/3 x 9/4

After cancellation or simplification the fraction is :

3/2 or 1 1/2