Precalculus (6th Edition)

Published by Pearson
ISBN 10: 013421742X
ISBN 13: 978-0-13421-742-0

Chapter R - Review of Basic Concepts - R.5 Rational Expressions - R.5 Exercises: 53

Answer

$\color{blue}{\dfrac{137}{30m}}$

Work Step by Step

The expressions are not similar since they have different denominators. Make the expressions similar using their LCD which is $5(6)(m) = 30m$ to obtain: $=\dfrac{1\color{red}{(5)}}{6m\color{red}{(5)}}+\dfrac{2\color{red}{(6)}}{5m\color{red}{(6)}}+\dfrac{4\color{red}{(30)}}{m\color{red}{(30)}} \\=\dfrac{5}{30m}+\dfrac{12}{30m}+\dfrac{120}{30m} \\=\dfrac{5+12+120}{30m} \\=\color{blue}{\dfrac{137}{30m}}$
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