Answer
$\frac{3y+4x}{2y-3x}$
Work Step by Step
Given : $\frac{\frac{3}{x}+\frac{4}{y}}{\frac{2}{x} - \frac{3}{y}}$
This becomes : $\frac{\frac{4x+3y}{xy}}{\frac{2y-3x}{xy}}$
(Finding the least common denominators)
$= \frac{3y+4x}{2y-3x}$
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: 53
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