Question

Express the following as a percent$:$

$5:125$

Answer 1

Step $1:$ To convert given ratio$,$ $5:125$ into percentage.

First convert given ratio into fraction by introducing the division sign

Ratio $5:125$ can be written as $\frac{5}{125}$

$\frac{5}{125}$$=\frac{1}{25}$

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

Step $2:$ Divide and multiply the fraction , $\frac{1}{25}$ by $100$

$=\frac{1}{25}\times \frac{100}{100}$

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

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

$=4\%$

Hence, $4\%$ is the equivalent percentage of $5:125$