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: 51

Answer

$-\frac{2}{5}$

Work Step by Step

$\frac{\frac{1}{3}-\frac{5}{6}}{\frac{3}{4}+\frac{1}{2}}$ $=(\frac{1}{3}-\frac{5}{6})\div(\frac{3}{4}+\frac{1}{2})$ $=(\frac{2}{6}-\frac{5}{6})\div(\frac{3}{4}+\frac{2}{4})$ $=(-\frac{3}{6})\div\frac{5}{4}$ $=(-\frac{1}{2})\div\frac{5}{4}$ $=-(\frac{1}{2}\div\frac{5}{4})$ $=-(\frac{1}{2}\times\frac{4}{5})$ $=-(\frac{1}{1}\times\frac{2}{5})$ $=-\frac{2}{5}$
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