Question

A recent report indicated that 8 1/3% of all residents of a state did not have health insurance. What fraction of residents were uninsured

Answer 1

The given percentage is 8 1/3 %.

$8\text{ }\frac{1}{3}\text{ \%=8}\frac{1}{3}\times\frac{1}{100}$$\text{ Use a}\frac{b}{c}=\frac{a\times c+b}{c}\text{.}$

$=\frac{8\times3+1}{3}\times\frac{1}{100}$

$=\frac{25}{3}\times\frac{1}{100}$

$=\frac{1}{3}\times\frac{1}{4}$

$=\frac{1}{12}$

$8\text{ }\frac{1}{3}\text{ \%=}\frac{1}{12}$

Hence 1/12 of residents were uninsured.