Question

A county has a sales tax of 6 2/3 % . Write the percent as a fraction in simplest form

Answer 1

A county has a sales tax of 6 2/3 % .

$6\frac{2}{3}%$

Mixed fraction can be written as improper fraction

$6\frac{2}{3}=\frac{6*3+2}{3}=\frac{20}{3}$

$6\frac{2}{3}%=\frac{20}{3}%$

To remove % we divide by 100

$\frac{20}{3}%=\frac{20}{300}$

Now we simplify the fraction. To simplify the fraction we divide both top and bottom by 20

$\frac{\frac{20}{20}}{\frac{300}{20}}= \frac{1}{15}$