Question

Express the following as a fraction reduced to the simplest form$:$

$8\frac{1}{3}\%$

Answer 1

Step $1:$ To convert given percentage$,$$8\frac{1}{3}\%$ into simplest fraction form.

$8\frac{1}{3}=\frac{25}{3}$

As we know that to convert a percentage into fraction$,$ we divide by $100$

Step $2:$ Divide $\frac{25}{3}$ by $100$

Required fraction $=\frac{{\displaystyle \frac{25}{3}}}{100}$$,$

$=\frac{25}{3\times 100}$$,$ divide numerator and denominator by $25$

$=\frac{1}{3\times 4}$

$=\frac{1}{12}$

Hence, $\frac{1}{12}$is the simplest fraction form of given $8\frac{1}{3}\%$