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: 57



Work Step by Step

We are given the fraction $\frac{2}{3}$. We know that $\frac{2}{3}=2\div3\approx.667$ To write $\frac{2}{3}$ as a percentage, we can set $\frac{2}{3}$ equal to $\frac{p}{100}$ (where p is the percentage representation of the given fraction) and take the cross products to solve for p. $\frac{2}{3}=\frac{p}{100}$ $2\times100=3\times p$ $200=3p$ Divide both sides by 3. $p=66.7$% Therefore, $\frac{2}{3}=.667=66.7$%.
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