Intermediate Algebra (6th Edition)

Published by Pearson
ISBN 10: 0321785045
ISBN 13: 978-0-32178-504-6

Chapter 6 - Section 6.3 - Simplifying Complex Fractions - Exercise Set - Page 361: 27

Answer

$\dfrac{2x+1}{y}$

Work Step by Step

The given expression, $ \dfrac{\dfrac{2}{x}+\dfrac{1}{x^2}}{\dfrac{y}{x^2}} ,$ simplifies to \begin{array}{l}\require{cancel} \dfrac{\dfrac{2x+1}{x^2}}{\dfrac{y}{x^2}} \\\\= \dfrac{\dfrac{2x+1}{\cancel{x^2}}}{\dfrac{y}{\cancel{x^2}}} \\\\= \dfrac{2x+1}{y} .\end{array}
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