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: 105

Answer

$\dfrac{7}{24}$

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*} &=\frac{\frac{1}{4}+\frac{1}{3}}{2}\\\\ &=\frac{\frac{3}{12}+\frac{4}{12}}{2}\\\\ &=\frac{\frac{7}{12}}{2}\\\\ &=\frac{7}{12} \times \frac{1}{2}\\\\ &=\frac{7}{24} \end{align*}
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