Introductory Algebra for College Students (7th Edition)

Published by Pearson
ISBN 10: 0-13417-805-X
ISBN 13: 978-0-13417-805-9

Chapter 7 - Section 7.3 - Adding and Subtracting Rational Expressions with the Same Denominator - Exercise Set - Page 506: 4

Answer

$\displaystyle \frac{5x}{12}$

Work Step by Step

To add rational expressions with the same denominator, add numerators and place the sum over the common denominator. If possible, factor and simplify the result. --- $\displaystyle \frac{9x}{24}+\frac{x}{24} = \displaystyle \frac{9x+x}{24}$ $=\displaystyle \frac{10x}{24}$ $=\displaystyle \frac{2(5x)}{2(12)}\qquad$... reduce by 2 $= \displaystyle \frac{5x}{12}$
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