How do you divide a fraction by a fraction?

Dividing a fraction by a fraction occurs very often in mathematics.

Answer: We can divide a fraction by another fraction by multiplying the fraction with the reciprocal of the other fraction.

Given below is an example of dividing a fraction by a fraction.

Explanation:

Let us divide 7/9 with 2/5

We take the reciprocal of the second fraction and multiply it to the 1st fraction.

7/9 ÷ 2/5 = 7/9 × 5/2

= 35/18

Hence, we can divide fractions by another fraction, by taking the reciprocal of the second fraction and multiplying it to the first fraction.