Question

Convert each of the following percents to fractions

(i) $7\frac{3}{4}\%$

Answer 1

STEP 1 : Converting mixed fraction into Improper fraction

$7\frac{3}{4}\%=\frac{7\times 4+3}{4}\%=\frac{31}{4}\%$

STEP 2 : Converting percentage into fraction

$$\begin{gathered} \Rightarrow \frac{31}{4}\%=\frac{31}{4}\times \frac{1}{100} \\ \Rightarrow \frac{31}{400} \end{gathered}$$

Hence, the fraction conversion of $7\frac{3}{4}\%$ is $\frac{31}{400}$.