Prealgebra (7th Edition)

Published by Pearson
ISBN 10: 0321955048
ISBN 13: 978-0-32195-504-3

Chapter 6 - Section 6.2 - Proportions - Exercise Set: 57

Answer

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

Work Step by Step

$\frac{n}{1\frac{1}{5}}=\frac{4\frac{1}{6}}{6\frac{2}{3}}$ $\Rightarrow$ convert mixed numbers $\frac{n}{\frac{6}{5}}=\frac{\frac{25}{6}}{\frac{20}{3}}$ $\Rightarrow$ simplify compound fraction $\frac{n}{\frac{6}{5}}={\frac{/\!\!5\times5}{/\!\!3\times2}}\times{\frac{/\!\!3}{/\!\!5\times4}}$ $\Rightarrow$ multiply $\frac{n}{\frac{6}{5}}=\frac{5}{8}$$\Rightarrow$ cross multiply $8n=\frac{6}{/\!\!5}\times/\!\!5$ $\Rightarrow$multiply $8n=6$$\Rightarrow$ multiplication poperty of equality $\frac{8n}{8}=\frac{6}{8}$$\Rightarrow$simplify $\frac{8n}{8}=\frac{6\div2}{8\div2}$$\Rightarrow$simplify $n=\frac{3}{4}$
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