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: 7

Answer

$1\frac{1}{22}$

Work Step by Step

$\frac{\frac{3}{4}+\frac{2}{5}}{\frac{1}{2}+\frac{3}{5}}$ $=(\frac{3}{4}+\frac{2}{5})\div(\frac{1}{2}+\frac{3}{5})$ $=(\frac{15}{20}+\frac{8}{20})\div(\frac{5}{10}+\frac{6}{10})$ $=(\frac{23}{20})\div(\frac{11}{10})$ $=\frac{23}{20}\times\frac{10}{11}$ $=\frac{23}{2}\times\frac{1}{11}$ $=\frac{23}{22}$ $=1\frac{1}{22}$
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