## Basic College Mathematics (9th Edition)

$\frac{343}{500}$
We are given the number 0.686 and are asked to convert it into a fraction in simplest terms. The numerator will be the digits to the right of the decimal point, or 686. The denominator will be 1000, because the rightmost digit of the decimal is in the thousandths place. $0.686=\frac{686}{1000}$ Simplify. $\frac{686}{1000}=\frac{686\div2}{1000\div2}=\frac{343}{500}$