Answer
$\frac{3}{2}$
Work Step by Step
Given : $\frac{3+\frac{x}{2}}{2+\frac{x}{3}}=\frac{\frac{x+6}{2}}{\frac{x+6}{3}}$
(Finding the least common denominators)
This becomes : $\frac{6+x}{2} \times \frac{3}{6+x}=\frac{3}{2}$
Algebra 1: Common Core (15th Edition)
by Charles, Randall I.
Published by
Prentice Hall
ISBN 10:
0133281140
ISBN 13:
978-0-13328-114-9
Chapter 11 - Rational Expressions and Functions - 11-4 Adding and Subtracting Rational Expressions - Practice and Problem-Solving Exercises - Page 689: 49
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