Question

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

$5\frac{1}{3}\%$

Answer 1

Step $1:$ To convert given percentage$,$$5\frac{1}{3}\%$ into simplest fraction form.

$5\frac{1}{3}=\frac{16}{3}$

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

Step $2:$ Divide $\frac{16}{3}$ by $100$

Required fraction $=\frac{{\displaystyle \frac{16}{3}}}{100}$$,$

$=\frac{16}{3\times 100}$$,$ divide numerator and denominator by $4$

$=\frac{4}{3\times 25}$

$=\frac{4}{75}$

Hence, $\frac{4}{75}$is the simplest fraction form of given $5\frac{1}{3}\%$