Question

Compare the ratios $4:15$ and $160:225$

Answer 1

Compairing the given ratios:

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

We know, $160:225=\frac{160}{225}$

Converting this ratio into simplest form

$\Rightarrow \frac{160÷5}{225÷5}=\frac{32}{45}$

Also, $4:15=\frac{4}{15}$

$\Rightarrow \frac{4}{15}=\frac{4\times 3}{15\times 3}=\frac{12}{45}$

By comparing $\frac{12}{45}$ and $\frac{32}{45}$ , it is clear that $\frac{12}{45}<\frac{32}{45}$

Therefore, $4:15<160:225$