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: 18

Answer

$\dfrac{\dfrac{x}{2}+2}{\dfrac{x}{2}-2}=\dfrac{x+4}{x-4}$

Work Step by Step

$\dfrac{\dfrac{x}{2}+2}{\dfrac{x}{2}-2}$ Evaluate the sum indicated in the numerator and the substraction indicated in the denominator: $\dfrac{\dfrac{x}{2}+2}{\dfrac{x}{2}-2}=\dfrac{\dfrac{x+4}{2}}{\dfrac{x-4}{2}}=...$ Evaluate the division and simplify if possible: $...=\dfrac{x+4}{2}\div\dfrac{x-4}{2}=\dfrac{(x+4)(2)}{(x-4)(2)}=\dfrac{x+4}{x-4}$
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