Question

Fill in the blanks with the correct symbol out of $>,<$ and $=$
$\frac{5}{-13}$ _____ $\frac{-35}{91}$

Answer 1

First we write each of the given numbers with a positive denominator.

$\therefore \frac{5}{-13}$$=\frac{(5\times (-1\left)\right)}{(-13\times -1)}$$=\frac{-5}{13}$

The $LCM$ of the denominators $13$ and $91$ is $91$

$\therefore \frac{-5}{13}=\frac{(-5\times 7)}{(13\times 7)}=\frac{-35}{91}$

Hence, $\frac{5}{-13}=\frac{-35}{91}$