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: 47

Answer

$\dfrac{\dfrac{1}{3}+\dfrac{3}{4}}{2}=\dfrac{13}{24}$

Work Step by Step

In order to find the average of two numbers, we need to find their sum and divide it by $2$. This can be shown in the following expression: $\dfrac{\dfrac{1}{3}+\dfrac{3}{4}}{2}$ Evaluate the sum in the numerator: $\dfrac{\dfrac{1}{3}+\dfrac{3}{4}}{2}=\dfrac{\dfrac{4+9}{12}}{2}=\dfrac{\dfrac{13}{12}}{2}=...$ Finally, evaluate the division and simplify if possible. The resulting number is the average of $\dfrac{1}{3}$ and $\dfrac{3}{4}$: $...=\dfrac{13}{12}\div2=\dfrac{13}{24}$
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