Prealgebra (7th Edition)

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

Chapter 4 - Section 4.6 - Complex Fractions and Review of Order of Operations - Exercise Set - Page 284: 32



Work Step by Step

When $x=-\frac{1}{3}$, $y=\frac{2}{5}$, and $z=\frac{5}{6}$: $\frac{y+x}{z}$ $=\frac{(\frac{2}{5})+(\frac{1}{3})}{(\frac{5}{6})}$ $=(\frac{2}{5}+\frac{1}{3})\div(\frac{5}{6})$ $=(\frac{6}{15}+\frac{5}{15})\div\frac{5}{6}$ $=\frac{11}{15}\div\frac{5}{6}$ $=\frac{11}{15}\times\frac{6}{5}$ $=\frac{11}{5}\times\frac{2}{5}$ $=\frac{22}{25}$
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