Question

Express the following as a percent$:$

$4:25$

Answer 1

Step $1:$ To convert given ratio$,$ $4:25$ into percentage.

First convert given ratio into fraction by introducing the division sign

Ratio $4:25$ can be written as $\frac{4}{25}$

As we know that a fraction with its denominator $100$ is called percentage$.$

Step $2:$ Divide and multiply the fraction , $\frac{4}{25}$ by $100$

$=\frac{4}{25}\times \frac{100}{100}$

$=\frac{{\displaystyle \frac{400}{25}}}{100}$

$=\frac{{\displaystyle 4\times 4}}{100}$

$=\frac{{\displaystyle 16}}{100}$

$=16\%$

Hence, $15\%$ is the equivalent percentage of $4:25$