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: 25

Answer

$\dfrac{\dfrac{x}{y}+1}{\dfrac{x}{y}-1}=\dfrac{x+y}{x-y}$

Work Step by Step

$\dfrac{\dfrac{x}{y}+1}{\dfrac{x}{y}-1}$ Evaluate the sum indicated in the numerator and the substraction indicated in the denominator: $\dfrac{\dfrac{x}{y}+1}{\dfrac{x}{y}-1}=\dfrac{\dfrac{x+y}{y}}{\dfrac{x-y}{y}}=...$ Evaluate the division and simplify: $...=\dfrac{x+y}{y}\div\dfrac{x-y}{y}=\dfrac{y(x+y)}{y(x-y)}=\dfrac{x+y}{x-y}$
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