Question

Express the following as a percent$:$

$1:12\frac{1}{2}$

Answer 1

Step $1:$ To convert given ratio$,$ $1:12\frac{1}{2}$ into percentage.

First convert given ratio into fraction by introducing the division sign

Ratio $1:12\frac{1}{2}$ can be written as $1:\frac{25}{2}$

$1:\frac{25}{2}$$=$$2:25$

$2:25$ in fraction form it can be written as $\frac{2}{25}$

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

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

$=\frac{2}{25}\times \frac{100}{100}$

$=\frac{{\displaystyle \frac{200}{25}}}{100}$

$=\frac{{\displaystyle 8}}{100}$

$=8\%$

Hence, $8\%$ is the equivalent percentage of $1:12\frac{1}{2}$