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 285: 44

Answer

$\frac{25}{42}$

Work Step by Step

$\frac{3-\frac{1}{2}}{4+\frac{1}{5}}$ $=(3-\frac{1}{2})\div(4+\frac{1}{5})$ $=(\frac{6}{2}-\frac{1}{2})\div(\frac{20}{5}+\frac{1}{5})$ $=\frac{5}{2}\div\frac{21}{5}$ $=\frac{5}{2}\times\frac{5}{21}$ $=\frac{25}{42}$
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