Algebra: A Combined Approach (4th Edition)

Published by Pearson
ISBN 10: 0321726391
ISBN 13: 978-0-32172-639-1

Chapter 7 - Section 7.7 - Simplifying Complex Fractions - Exercise Set: 9

Answer

$\dfrac{2+\dfrac{7}{10}}{1+\dfrac{3}{5}}=\dfrac{27}{16}$

Work Step by Step

$\dfrac{2+\dfrac{7}{10}}{1+\dfrac{3}{5}}$ Evaluate the sums indicated in the numerator and the denominator: $\dfrac{2+\dfrac{7}{10}}{1+\dfrac{3}{5}}=\dfrac{\dfrac{20+7}{10}}{\dfrac{5+3}{5}}=\dfrac{\dfrac{27}{10}}{\dfrac{8}{5}}=...$ Evaluate the division and simplify: $...=\dfrac{27}{10}\div\dfrac{8}{5}=\dfrac{(27)(5)}{(10)(8)}=\dfrac{27}{16}$
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