Question

Express the following as a percent$:$

$16:24$

Answer 1

Step $1:$ To convert given ratio$,$ $16:24$ into percentage.

First convert given ratio into fraction by introducing the division sign

Ratio $16:24$ can be written as $\frac{16}{24}$

$\frac{16}{24}$$=\frac{2}{3}$

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

Step $2:$ Divide and multiply the fraction , $\frac{2}{3}$ by $100$

$=\frac{2}{3}\times \frac{100}{100}$

$=\frac{{\displaystyle \frac{200}{3}}}{100}$

$=\frac{{\displaystyle 66.6}}{100}$

$=66.6\%$

Hence, $66.6\%$ is the equivalent percentage of $16:24$