Question

Convert each of the following percents to fractions

(ii) $0.125\%$

Answer 1

STEP 1 : Converting decimal into fraction

$0.125\%=0.125\times \frac{1000}{1000}\%=\frac{125}{1000}\%$

STEP 2 : Converting percentage into fraction

$$\begin{gathered} \Rightarrow \frac{125}{1000}\%=\frac{125}{1000}\times \frac{1}{100} \\ \Rightarrow \frac{1}{8\times 100}=\frac{1}{800} \end{gathered}$$

Hence, the fraction conversion of $0.125\%$ is $\frac{1}{800}$.