Question

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

$37\frac{1}{2}\%$

Answer 1

Step $1:$ To convert given percentage$,$$37\frac{1}{2}\%$ into simplest fraction form.

$37\frac{1}{2}=\frac{75}{2}$

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

Step $2:$ Divide $\frac{75}{2}$ by $100$

Required fraction $=\frac{{\displaystyle \frac{75}{2}}}{100}$$,$

$=\frac{75}{2\times 100}$$,$ divide numerator and denominator by $25$

$=\frac{3}{2\times 4}$

$=\frac{3}{8}$

Hence, $\frac{3}{8}$is the simplest fraction form of given $37\frac{1}{2}\%$