Question

Compare $\frac{5}{18},\frac{7}{121}$.

Answer 1

We have to compare $\frac{5}{18}$ and $\frac{7}{121}$

LCM of $18$ and $121$ is $2178$

$\frac{5\times 121}{18\times 121}=\frac{605}{2178}$

$\frac{7\times 18}{121\times 18}=\frac{126}{2178}$

On comparing

$\frac{605}{2178}>\frac{126}{2178}$

Which implies that $\frac{5}{18}$ is greater than $\frac{7}{121}$.