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: 59



Work Step by Step

We are given the fraction $\frac{3}{50}$. We know that $\frac{3}{50}=3\div50=(3\times2) \div(50\times2)=6\div100=.06$ To write $\frac{3}{50}$ as a percentage, we can set $\frac{3}{50}$ equal to $\frac{p}{100}$ (where p is the percentage representation of the given fraction) and take the cross products to solve for p. $\frac{3}{50}=\frac{p}{100}$ $3\times100=50\times p$ $300=50p$ Divide both sides by 50. $p=6$% Therefore, $\frac{3}{50}=.06=6$%.
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