Question

write the percent from the circle graph as a decimal and a fraction.
region b; 14.2%
14.2% written as a decimal is 0.142 (simplify your answer.)
14.2% written as a fraction is (simplify your answer.)

Explanation:

Step1: Convert percentage to fraction

Percent means per - hundred. So \(14.2\%=\frac{14.2}{100}\).
Since there is one digit after the decimal in the numerator, multiply numerator and denominator by \(10\) to get rid of the decimal.
\(\frac{14.2\times10}{100\times10}=\frac{142}{1000}\).

Step2: Simplify the fraction

Find the greatest common divisor (GCD) of \(142\) and \(1000\).
The factors of \(142\) are \(1,2,71,142\).
The factors of \(1000\) are \(1,2,4, 5,8,10,20,25,40,50,100,125,200,250,500,1000\).
The GCD of \(142\) and \(1000\) is \(2\).
Divide numerator and denominator by \(2\): \(\frac{142\div2}{1000\div2}=\frac{71}{500}\).

Answer:

\(\frac{71}{500}\)