Basic College Mathematics (10th Edition)

Published by Pearson
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Chapter 6 - Percent - 6.2 Percents and Fractions - 6.2 Exercises - Page 399: 68

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 $2\frac{4}{5} = \frac{14}{5}$ $\frac{14}{5} = \frac{x}{100}$ $5x = 14\times100$ $\frac{5x}{5} = \frac{1400}{5}$ $x = 280$
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