Question

Fill in the blank with correct symbol $>$, $<$ or $=$: $\left(\frac{-9}{7}\right)\_\_\_\_\_\_\left(\frac{4}{-7}\right)$

Answer 1

Evaluate:

We know that, $\left(\frac{4}{-7}\right)$ can also be written with a positive denominator as $\left(\frac{-4}{7}\right)$.

Now, the given rational numbers are $\left(\frac{-9}{7}\right)$ and $\left(\frac{-4}{7}\right)$ in which we find both the denominators are equal.

Therefore, comparing numerators we can say that $\left(-9\right)<\left(-4\right)$

Hence, $\left(\frac{-9}{7}\right)\mathbf{}\mathbf{<}\mathbf{}\left(\frac{4}{-7}\right)$