Basic College Mathematics (9th Edition)

Published by Pearson
ISBN 10: 0321825535
ISBN 13: 978-0-32182-553-7

Chapter 6 - Percent - 6.2 Percents and Fractions - 6.2 Exercises: 63

Answer

$\frac{1}{200}=.005=.5$%

Work Step by Step

We are given the fraction $\frac{1}{200}$. We know that $\frac{1}{200}=1\div200=(1\times5)\div(200\times5)=5\div1000=.005$ To write $\frac{1}{200}$ as a percentage, we can set $\frac{1}{200}$ equal to $\frac{p}{100}$ (where p is the percentage representation of the given fraction) and take the cross products to solve for p. $\frac{1}{200}=\frac{p}{100}$ $1\times100=200\times p$ $100=200p$ Divide both sides by 200. $p=.5$% Therefore, $\frac{1}{200}=.005=.5$%.
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