Basic College Mathematics (9th Edition)

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

Chapter 5 - Rates of Reaction - Review Exercises - Page 372: 7

Answer

$\frac{1}{6}$

Work Step by Step

We can write the given ratio as a fraction and then simplify in lowest terms. $\frac{2\frac{3}{4}miles}{16\frac{1}{2}miles}$ Since both the denominator and numerator have the same unit, we can divide out the common unit. $\frac{2\frac{3}{4}}{16\frac{1}{2}}=\frac{\frac{11}{4}}{\frac{33}{2}}=\frac{11}{4}\div{\frac{33}{2}}=\frac{11}{4}\times{\frac{2}{33}}=\frac{11\times2}{4\times33}=\frac{22}{132}=\frac{22\div11}{132\div11}=\frac{1}{6}$
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