Question

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

$6\frac{1}{4}\%$

Answer 1

Step $1:$ To convert given percentage$,$$6\frac{1}{4}\%$ into simplest fraction form.

$6\frac{1}{4}=\frac{25}{4}$

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

Step $2:$ Divide $\frac{25}{4}$ by $100$

Required fraction $=\frac{{\displaystyle \frac{25}{4}}}{100}$$,$

$=\frac{25}{4\times 100}$$,$ divide numerator and denominator by $25$

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

$=\frac{1}{16}$

Hence, $\frac{1}{16}$is the simplest fraction form of given $6\frac{1}{4}\%$