Basic College Mathematics (9th Edition)

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

Chapter 5 - Ratio and Proportion - 5.3 Proportions - 5.3 Exercises: 35

Answer

false

Work Step by Step

To determine whether $\frac{\frac{2}{3}}{2}=\frac{2\frac{7}{10}}{8}$ is true, determine whether the cross products are equal. $\frac{2}{3}\times8 = 2\times2\frac{7}{10}$ $\frac{2}{3}\times\frac{8}{1} = \frac{2}{1}\times\frac{27}{10}$ $\frac{16}{3} = \frac{54}{10}$ $\frac{16\times10}{3\times10} = \frac{54\times3}{10\times\times3}$ $\frac{160}{30} = \frac{162}{30}$ The cross products are NOT equal so the proportion is false.
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