Basic College Mathematics (10th Edition)

Published by Pearson
ISBN 10:
ISBN 13:

Chapter 5 - Ratio and Proportion - Summary Exercises - Ratio, Rates and Proportions - Page 359: 24

Answer

$x = \frac{3}{4}$

Work Step by Step

$\frac{6\frac{2}{3}}{4\frac{1}{6}} = \frac{\frac{6}{5}}{x}$ $6\frac{2}{3}x = 4\frac{1}{6}\times\frac{6}{5}$ $\frac{20}{3}x = \frac{25}{6}\times\frac{6}{5}$ $\frac{3}{20}\times\frac{20}{3}x = \frac{3}{20}\times\frac{25}{6}\times\frac{6}{5}$ $\frac{3\div3}{20\div20}\times\frac{20\div5\div20}{3\div3}x = \frac{3}{20}\times\frac{25\div5\div5}{6\div6}\times\frac{6\div6}{5\div5}$ $x = \frac{3}{4}\times\frac{1}{1}\times\frac{1}{1}$ $x = \frac{3}{4}$
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