Basic College Mathematics (10th Edition)

Published by Pearson
ISBN 10: 0134467795
ISBN 13: 978-0-13446-779-5

Chapter 6 - Percent - 6.2 Percents and Fractions - 6.2 Exercises - Page 398: 58

Answer

$\frac{5}{6}=.833=83.3$%

Work Step by Step

We are given the fraction $\frac{5}{6}$. We know that $\frac{5}{6}=5\div6\approx.833$ To write $\frac{5}{6}$ as a percentage, we can set $\frac{5}{6}$ equal to $\frac{p}{100}$ (where p is the percentage representation of the given fraction) and take the cross products to solve for p. $\frac{5}{6}=\frac{p}{100}$ $5\times100=6\times p$ $500=6p$ Divide both sides by 6. $p=83.3$% Therefore, $\frac{5}{6}=.833=83.3$%.
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