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: 94

Answer

$-\dfrac{3}{4}$

Work Step by Step

Make the fractions similar using their LCD of $4$ to obtain: $$-2\frac{1}{2}+1\frac{3}{4}=-2\frac{2}{4}+1\frac{3}{4}$$ Convert each number to impropert fraction then add to obtain: \begin{align*} -2\frac{2}{4}+1\frac{3}{4}&=-\frac{4(2)+2}{4}+\frac{4(1)+3}{4}\\\\ &=-\frac{10}{4}+\frac{7}{4}\\\\ &=\frac{-10+7}{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.