Question

Compare the following ratio:

$9:20and8:13$

Answer 1

Comparing the ratios :

We have, $9:20=\frac{9}{20}$ and $8:13=\frac{8}{13}$

Since, LCM of $20$and $13$ is $260$

Now to make denominator of $\frac{9}{20}$as $260$ we multiply the numerator and denominator by $13$

$\frac{9\times 13}{20\times 13}=\frac{117}{260}$

Now to make denominator of $\frac{8}{13}$as $260$ we multiply the numerator and denominator by $20$

$\frac{8\times 20}{13\times 20}=\frac{160}{260}$

Now, we will compare the numerators of $\frac{117}{260}and\frac{160}{260}$

Since, $117<160$

Then, $\frac{117}{260}<\frac{160}{260}$

$\frac{9}{20}<\frac{8}{13}$

Hence, the ratio $8:13$is greater than $9:20$