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: 52

Answer

$\frac{24}{31}$

Work Step by Step

$\frac{\frac{7}{10}+\frac{1}{2}}{\frac{4}{5}+\frac{3}{4}}$ $=(\frac{7}{10}+\frac{1}{2})\div(\frac{4}{5}+\frac{3}{4})$ $=(\frac{7}{10}+\frac{5}{10})\div(\frac{16}{20}+\frac{15}{20})$ $=\frac{12}{10}\div\frac{31}{20}$ $=\frac{6}{5}\div\frac{31}{20}$ $=\frac{6}{5}\times\frac{20}{31}$ $=\frac{6}{1}\times\frac{4}{31}$ $=\frac{24}{31}$
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