Question

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

$\frac{-9}{13},\frac{-3}{7}$

Answer 1

We will make their denominators equal by taking their LCM

LCM $\left(13,7\right)=91.$

Now , we will make their denominators equal

$\frac{-9}{13}=\frac{-9\times 7}{13\times 7}=\frac{-63}{91}$

$\frac{-3}{7}=\frac{-3\times 13}{7\times 13}=\frac{-39}{91}$

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

$-39>-63$

So , $\frac{-39}{91}>\frac{-63}{91}$

Hence , $\frac{-9}{13}>\frac{-3}{7}$.