Question

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

$\frac{-4}{9}\square \frac{5}{2}$

Answer 1

Given rational numbers are $\frac{-4}{9}$ and $\frac{5}{2}$.

$\frac{-4}{9}$ is a negative rational number and $\frac{5}{2}$ is a positive rational number.

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

Therefore $\frac{-4}{9}$ is less than $\frac{5}{2}$.

Hence, $\frac{-4}{9}<\frac{5}{2}$