Question

Which of the two rational numbers is greater in each of the following pairs ?

$\frac{3}{-5},\frac{-1}{5}$

Answer 1

First of all we will convert the given fractions in their standard form

$\frac{3}{-5}=\frac{3\times -1}{-5\times -1}=\frac{-3}{5}$

and

$\frac{-1}{5}=\frac{-1}{5}$

Since , denominators of both the fractions are same , we will directly compare their numerators.

$-1>-3$

So , $\frac{-1}{5}>\frac{-3}{5}$

Hence, $\frac{3}{-5}>\frac{-1}{5}$.