Question

Compare the ratios $3:14$ and $24:126$

Answer 1

Compairing the given ratios:

To compare the two ratios, we first make the denominators of both the ratios same.

We know, $24:126=\frac{24}{126}$

Converting this ratio into simplest form

$\Rightarrow \frac{24}{126}=\frac{4}{21}$

$\Rightarrow \frac{4\times 2}{21\times 2}=\frac{8}{42}$

Also, $3:14=\frac{3}{14}$

$\Rightarrow \frac{3}{14}=\frac{3\times 3}{14\times 3}=\frac{9}{42}$

By comparing $\frac{9}{42}$ and $\frac{8}{42}$ , it is clear that $\frac{9}{42}>\frac{8}{42}$

Therefore, $3:14>24:126$