Question

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

$\frac{-5}{11},\frac{-13}{17}$

Answer 1

We will make their denominators equal by taking their LCM

LCM $\left(11,17\right)=187.$

Now , we will make their denominators equal

$\frac{-5}{11}=\frac{-5\times 17}{11\times 17}=\frac{-85}{187}$

$\frac{-13}{17}=\frac{-13\times 11}{17\times 11}=\frac{-143}{187}$

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

$-85>-143$

So , $\frac{-85}{187}>\frac{-143}{187}$

Hence , $\frac{-5}{11}>\frac{-13}{17}$.