Question

Express the following as a percent$:$

$3:27$

Answer 1

Step $1:$ To convert given ratio$,$ $3:27$ into percentage.

First convert given ratio into fraction by introducing the division sign

Ratio $3:27$ can be written as $\frac{3}{27}$

$\frac{3}{27}$$=\frac{1}{9}$

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

Step $2:$ Divide and multiply the fraction , $\frac{1}{9}$ by $100$

$=\frac{1}{9}\times \frac{100}{100}$

$=\frac{{\displaystyle \frac{100}{9}}}{100}$

$=\frac{{\displaystyle 11.11}}{100}$

$=11.11\%$

Hence, $11.11\%$ is the equivalent percentage of $\frac{3}{27}$