Question

Express $18.75\%$ as a fraction in its lowest terms.

Answer 1

To convert percentage into fraction, we divide the percentage by $100$.

Step 1: We can remove the decimal in $18.75$by dividing it by $100$ as there are two values after decimal.

$\Rightarrow 18.75\%=\frac{1875}{100}\%$

Step 2: Dividing the given percentage by $100$ to convert it into fraction.

$$\begin{gathered} \Rightarrow \frac{1875}{100}\%=\frac{1875}{100}÷100 \\ =\frac{1875}{100}\times \frac{1}{100} \end{gathered}$$

Step 3: We have to simplify the above expression to convert it into lowest term

We can simplify easily by writing $1875=25\times 25\times 3$ and $100=25\times 4$).

$$\begin{gathered} \Rightarrow \frac{1875}{100\times 100}=\frac{\cancel{25}\times \cancel{25}\times 3}{\cancel{25}\times 4\times \cancel{25}\times 4} \\ \Rightarrow \frac{3}{4\times 4}=\frac{3}{16} \end{gathered}$$

Hence $18.75\%=\frac{3}{16}$