Intermediate Algebra: Connecting Concepts through Application

Published by Brooks Cole
ISBN 10: 0-53449-636-9
ISBN 13: 978-0-53449-636-4

Chapter 7 - Rational Functions - 7.4 Adding and Subtracting Rational Expressions - 7.4 Exercises - Page 589: 12

Answer

LCD = $3y$ $\frac{7y(3y)}{3y}$ $\frac{x}{3y}$

Work Step by Step

The first thing we want to do is to make sure that each denominator is factored completely. This has already been done. Next, we want to find the least common denominator (LCD). We do this by taking the highest power of each factor in the denominator: LCD = $3y$ Now that we have the least common denominator, we multiply the numerator of each fraction with the factor or factors it is missing in its denominator: $\frac{7y(3y)}{3y}$ $\frac{x}{3y}$
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