Question

Division of rational number by a rational number.

Answer 1

Division of Rational Numbers:

To learn division of rational numbers, let us recall how to divide a fraction by another fraction. We know division of fractions is the inverse of multiplication.

Similarly, in case of rational number also, division is the inverse of multiplication as defined below:

Let $\frac{p}{q}$ be rational number then the division of $\frac{p}{q}$ by another rational number of the form $\frac{m}{n}$, where $q,n\ne 0$.
Thus, $\frac{p}{q}÷\frac{m}{n}=\frac{p}{q}\times \frac{n}{m}$
Where, $\frac{n}{m}$ is the multiplicative inverse of $\frac{m}{n}$.
Similar way, consider $\frac{4}{5}÷\frac{3}{2}=\frac{4}{5}\times \frac{2}{3}=\frac{8}{15}$