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: 74

Answer

$\frac{9}{20}$ 0.45 45%

Work Step by Step

360 out of 800 were influenced by relatives, friends and spouses. Fraction Write the ratio as a fraction and simplify. $\frac{360}{800}$ = $\frac{360\div40}{800\div40}$ = $\frac{9}{20}$ Decimal Write the ratio as a fraction and divide. $\frac{360}{800}$ $\ \ \ \ \ \ \ \ \ \ \ 0.45$ $800)\overline{360.00}$ $\ \ \ \ \ \ \ \ \underline{3200}$ $\ \ \ \ \ \ \ \ \ \ 4000$ $\ \ \ \ \ \ \ \ \ \ \underline{4000}$ $\ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ 0$ Percent Write as a proportion and solve for x using cross products. $\frac{36}{800} = \frac{x}{100}$ $800x = 36\times100$ $\frac{800x}{800} = \frac{3600}{800}$ $x = 45$
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