Question

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

$\frac{17}{-21},\frac{-19}{21}$

Answer 1

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

$\frac{17}{-21}=\frac{17\times -1}{-21\times -1}=\frac{-17}{21}$

and

$\frac{-19}{21}=\frac{-19}{21}$

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

$-17>-19$

So , $\frac{-17}{21}>\frac{-19}{21}$

Hence , $\frac{17}{-21}>\frac{-19}{21}$.