Question

Compare the following ratio:

$3:4and9:16$

Answer 1

We have, $3:4=\frac{3}{4}$ and $9:16=\frac{9}{16}$

Since, LCM of $4$and $16$ is $16$, we get

To make denominator $16$, we multiply both numerator and denominator by $4$

$\frac{3\times 4}{4\times 4}=\frac{12}{16}$

Now, to make denominator$16$, we multiply by 1 as the denominator is already $16$

$\frac{9\times 1}{16\times 1}=\frac{9}{16}$

Now, we will compare the numerators of $\frac{12}{16}$ and $\frac{9}{16}$

Since, $12>9$

Then, $\frac{12}{16}>\frac{9}{16}$

$\frac{3}{4}>\frac{9}{16}$

Hence, the ratio $3:4$ is greater than $9:16$