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 - Page 400: 64

Answer

$\frac{1}{400}=.003=.3$%

Work Step by Step

We are given the fraction $\frac{1}{400}$. We know that $\frac{1}{400}=1\div400=.0025\approx.003$ To write $\frac{1}{400}$ as a percentage, we can set $\frac{1}{400}$ equal to $\frac{p}{100}$ (where p is the percentage representation of the given fraction) and take the cross products to solve for p. $\frac{1}{400}=\frac{p}{100}$ $1\times100=400\times p$ $100=400p$ Divide both sides by 400. $p=(.25\approx.3)$% Therefore, $\frac{1}{400}=.003=.3$%.
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