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 - 5.3 The Rational Numbers - Exercise Set 5.3 - Page 285: 109

Answer

$-\dfrac{3}{4}$

Work Step by Step

The number halfway between the numbers $a$ and $b$ can be found using the formula $\dfrac{a+b}{2}$ . Use this formula to find the number halfway the two given number to obtain: \begin{align*} \require{cancel} &=\frac{-\frac{2}{3}+\left(-\frac{5}{6}\right)}{2}\\\\ &=\frac{-\frac{4}{6}+\left(-\frac{5}{6}\right)}{2}\\\\ &=\frac{-\frac{9}{6}}{2}\\\\ &=-\frac{9}{6} \times \frac{1}{2}\\\\ &=-\frac{9}{12}\\\\ &=-\frac{\cancel{9}3}{\cancel{12}4}\\\\ &=-\frac{3}{4} \end{align*}
Update this answer!

You can help us out by revising, improving and updating this answer.

Update this answer

After you claim an answer you’ll have 24 hours to send in a draft. An editor will review the submission and either publish your submission or provide feedback.