Question

Which of the following are rational numbers and which are not?

$\frac{-13}{4-4}$

Answer 1

A rational number is defined as a number that can be expressed in the form $\frac{\mathrm{p}}{\mathrm{q}}$ where $\mathrm{p}$ (numerator) and $\mathrm{q}$ (denominator) are integers $(\mathrm{q}\ne 0)$.

Here, $\frac{-13}{4-4}$can be written as $\frac{-13}{0}$, so we can see that numerator $\mathrm{p}=-13$ and denominator $\mathrm{q}=0$.

Hence, $\frac{-13}{4-4}$ is not a rational number.