Question

Compare the following ratios.

$19:47$ and $8:23$

Answer 1

We have, $19:47=\frac{19}{47}and8:23=\frac{8}{23}$

Now, LCM of denominators $47and23is1081$

So, $\frac{19}{47}=\frac{19\times 23}{47\times 23}=\frac{437}{1081}and\frac{8}{23}=\frac{8\times 47}{23\times 47}=\frac{376}{1081}$

Clearly, $437>376$

So, $\frac{437}{1081}>\frac{376}{1081}$ ⇒ $\frac{19}{47}>\frac{8}{23}$

Hence, $19:47>8:23$.