## Basic College Mathematics (9th Edition)

Use division to convert a fraction to a decimal Change the mixed number to an improper fraction then divide the numerator by the denominator. $2\frac{4}{5} = \frac{14}{5}$ $\ \ \ \ \ \ \ 2.8$ $5\overline{ )\ 14.0}$ $\ \ \ \ \ \underline{10}$ $\ \ \ \ \ \ \ 40$ $\ \ \ \ \ \ \ \underline{40}$ $\ \ \ \ \ \ \ \ \ 0$ Use proportions to convert a fraction to a decimal. Change the mixed number to an improper fraction $2\frac{4}{5} = \frac{14}{5}$ $\frac{14}{5} = \frac{x}{100}$ $5x = 14\times100$ $\frac{5x}{5} = \frac{1400}{5}$ $x = 280$