In the Chang family's budget, 0.6% of the expenses are for internet service. What fraction of the family's expenses is for internet service? Write the fraction in simplest form.

Verified Answer :

percent means parts out of 100
0.6%=0.6/100=6/1000=3/500

te fraction is 3/500

Answer: \(\frac{3}{500}\)


Step-by-step explanation:

Let the family's expense be x

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

Then expense for internet service=0.6 % of x

\(\frac{0.6}{100}\times\ x\\=0.006x\)

The fraction of family's expense is for internet service =\(\frac{0.006x}{x}=\frac{0.006}{1}=\frac{6}{1000}=\frac{3}{500}\)

Hence the fraction of family's expense is for internet expense=\(\frac{3}{500}\)