Question

Fill in the box with the correct symbol $>$, $<$ or $=$.

$\frac{2}{5}\square \frac{2}{-6}$

Answer 1

Given rational numbers are $\frac{2}{5}$ and $\frac{2}{-6}$.

$\frac{2}{5}$ is a positive rational number and$\frac{2}{-6}$ is a negative rational number.

We know that every positive rational number is greater than every negative rational number.

Therefore $\frac{2}{5}$ is greater than $\frac{2}{-6}$.

Hence, $\frac{2}{5}>\frac{2}{-6}$