Answer
decimal 2.8
percent 280%
Work Step by Step
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
$2\frac{4}{5} = \frac{14}{5}$
$\frac{14}{5} = \frac{x}{100}$
$5x = 14\times100$
$\frac{5x}{5} = \frac{1400}{5}$
$x = 280$
