Elementary and Intermediate Algebra: Concepts & Applications (6th Edition)

Published by Pearson
ISBN 10: 0-32184-874-8
ISBN 13: 978-0-32184-874-1

Chapter 1 - Introduction to Algebraic Expressions - 1.7 Multiplication and Division of Real Numbers - 1.7 Exercise Set: 135

Answer

The reciprocal of the sum is: $\frac{1}{2+4}=\frac{1}{6}$ The sum of the reciprocals is: $\frac{1}{2}+\frac{1}{4}=\frac{2}{4}+\frac{1}{4}=\frac{3}{4}$ $\frac{1}{6}\ne\frac{3}{4}$

Work Step by Step

If we take 2 and 4 and their reciprocals $\frac{1}{2}$ and $\frac{1}{4}$ The reciprocal of the sum is: $\frac{1}{2+4}=\frac{1}{6}$ The sum of the reciprocals is: $\frac{1}{2}+\frac{1}{4}=\frac{2}{4}+\frac{1}{4}=\frac{3}{4}$ $\frac{1}{6}\ne\frac{3}{4}$
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