Question

Compare the following ratio:

$15:16and24:25$

Answer 1

We have, $15:16=\frac{15}{16}$ and $24:25=\frac{24}{25}$

Since, LCM of $16$ and $25$ is $400$, we get

To make denominator $400$, we multiply both numerator and denominator by $25$

$\frac{15\times 25}{16\times 25}=\frac{375}{400}$

Now, to make denominator $400$, we multiply by 1 as denominator is already $16$

$\frac{24\times 16}{25\times 16}=\frac{384}{400}$

Now, we will compare the numerators of $\frac{375}{400}$ and $\frac{384}{400}$

Since, $375<384$

Then, $\frac{375}{400}<\frac{384}{400}$

$\frac{15}{16}<\frac{24}{25}$

Hence, the ratio $24:25$ is greater than $15:16$