Intermediate Algebra for College Students (7th Edition)

Published by Pearson
ISBN 10: 0-13417-894-7
ISBN 13: 978-0-13417-894-3

Chapter 6 - Section 6.2 - Adding and Subtracting Rational Expressions - Exercise Set - Page 429: 94

Answer

It makes sense

Work Step by Step

Once we determined the Least Common Denominator and we rewrite all the rational expressions with the same Least Common Denominator we use the fact that each rational expression $\dfrac{a}{b}$ can be rewritten as $\dfrac{a}{b}\cdot \dfrac{c}{c}$, were $LCD=b\cdot c$. So what we practically do is multiply each rational expression by the multiplicative identity $1$ written so that the denominator $c=\dfrac{LCD}{b}$. Therefore the given statement makes sense.
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