Question

If $\frac{p}{q}$ is a rational number, then $q$ cannot be ______.

Answer 1

Rational Number:

A rational number can be defined as any number which can be represented in the form of $\frac{p}{q}$ where $q\ne 0$.

When the rational number is divided, the result will be in decimal form, which may be either terminating decimal or repeating decimal.

The set of rational numerals include positive, negative numbers, and zero.

Hence if $\frac{p}{q}$ is a rational number, then $q$ cannot be zero.