Question

In the Chang family's budget, $0.6\%$ of the expenses are for internet service.

What fraction of the family's expenses are for internet service?

Write the fraction in the simplest form.

Answer 1

Finding fraction for the given percentage:

Since the expenses for internet service for the Chang family are: $0.6\%$

Converting percentage into fraction as follow:

$$\begin{gathered} 0.6\%=\frac{0.6}{100} \\ \Rightarrow 0.6\%=\frac{6}{1000} \end{gathered}$$

Simplifying the fraction further as:

$\begin{array}{rcl}\frac{6}{1000}& =& \frac{3\times 2}{500\times 2}\\ & =& \frac{3}{500}\end{array}$

Therefore, the Chang family's expenses for internet service in fractions in simplest form is $\frac{\mathbf{3}}{\mathbf{500}}$.