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: 9

Answer

$\dfrac{13x}{20}$

Work Step by Step

Make the rational expressions similar by using their LCD of $20$ to obtain: $\dfrac{2x}{5}+\dfrac{x}{4} \\=\dfrac{2x\color{magenta}{(4)}}{5\color{magenta}{(4)}}+\dfrac{x\color{magenta}{(5)}}{4\color{magenta}{(5)}} \\=\dfrac{8x}{20}+\dfrac{5x}{20} \\=\dfrac{8x+5x}{20} \\=\dfrac{13x}{20}$
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