Thinking Mathematically (6th Edition)

Published by Pearson
ISBN 10: 0321867327
ISBN 13: 978-0-32186-732-2

Chapter 5 - Number Theory and the Real Number System - Chapter Summary, Review, and Test - Review Exercises - Page 335: 59

Answer

$\dfrac{15}{112}$

Work Step by Step

The rational number halfway between the two numbers is the average of the two numbers.\ln The average of two numbers can be found by dividing the sum of the numbers by $2$. Thus, the rational number halfway between the two numbers is: \begin{align*} &=\frac{\frac{1}{7}+\frac{1}{8}}{2}\\\\ &=\frac{\frac{8}{56}+\frac{7}{56}}{2}\\\\ &=\frac{\frac{15}{56}}{2}\\\\ &=\frac{15}{56(2)}\\\\ &=\frac{15}{112} \end{align*}
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