Basic College Mathematics (10th Edition)

Published by Pearson
ISBN 10:
ISBN 13:

Chapter 6 - Percent - 6.2 Percents and Fractions - 6.2 Exercises - Page 399: 71

Answer

$\frac{9}{50}$ 0.18 18%

Work Step by Step

Fraction Write the ratio as a fraction and simplify. $\frac{90}{500}$ = $\frac{90\div10}{500\div10}$ = $\frac{9}{50}$ Decimal Write the ratio as a fraction and divide. $\frac{90}{500}$ $\ \ \ \ \ \ \ \ \ 0.18$ $500)\overline{90.00}$ $\ \ \ \ \ \ \ \ \underline{500}$ $\ \ \ \ \ \ \ \ 4000$ $\ \ \ \ \ \ \ \ \underline{4000}$ $\ \ \ \ \ \ \ \ \ \ \ \ \ \ 0$ Percent Write as a proportion and solve for x using cross products. $\frac{90}{500} = \frac{x}{100}$ $500x = 90\times100$ $\frac{500x}{500} = \frac{9000}{500}$ $x = 18$
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