Algebra: A Combined Approach (4th Edition)

Published by Pearson
ISBN 10: 0321726391
ISBN 13: 978-0-32172-639-1

Chapter 7 - Section 7.7 - Simplifying Complex Fractions - Exercise Set: 48

Answer

$\dfrac{\dfrac{3}{n}+\dfrac{5}{n^{2}}}{2}=\dfrac{3n+5}{2n^{2}}$

Work Step by Step

In order to find the average of $\dfrac{3}{n}$ and $\dfrac{5}{n^{2}}$, find the sum of these two rational expressions and divide it by two. This can be expressed as follows: $\dfrac{\dfrac{3}{n}+\dfrac{5}{n^{2}}}{2}$ Evaluate the sum indicated in the numerator: $\dfrac{\dfrac{3}{n}+\dfrac{5}{n^{2}}}{2}=\dfrac{\dfrac{3n+5}{n^{2}}}{2}=...$ Finally, evaluate the division and simplify: $\dfrac{3n+5}{n^{2}}\div2=\dfrac{3n+5}{2n^{2}}$
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