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 397: 52



Work Step by Step

We are given the fraction $\frac{1}{3}$. We know that $\frac{1}{3}=1\div3\approx.333$ To write $\frac{1}{3}$ as a percentage, we can set $\frac{1}{3}$ equal to $\frac{p}{100}$ (where p is the percentage representation of the given fraction) and take the cross products to solve for p. $\frac{1}{3}=\frac{p}{100}$ $1\times100=3\times p$ $100=3p$ Divide both sides by 3. $p=33.3$% Therefore, $\frac{1}{3}=.333=33.3$%.
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