Elementary Technical Mathematics

Published by Brooks Cole
ISBN 10: 1285199197
ISBN 13: 978-1-28519-919-1

Chapter 2 - Section 2.4 - Signed Fractions - Exercises - Page 119: 41


$ -1\displaystyle \frac{1}{8}$

Work Step by Step

Rewrite the fractions so they have a common denominator. LCD=24. $\displaystyle \left(\frac{-2\cdot 8}{24} \right)$+$\displaystyle \left(\frac{-5\cdot 4}{24} \right)$+$\displaystyle \left(\frac{1\cdot 6}{24} \right)$+$\displaystyle \left(\frac{1\cdot 3}{24} \right)$= Combine the numerators $=\displaystyle \frac{-16+(-20)+6+3}{24}$ Add the terms with like signs $=\displaystyle \frac{-(16+20)+(6+3)}{24}$ $=\displaystyle \frac{-(36)+(+9)}{24}$ Add the terms with different signs $=\displaystyle \frac{-27}{24}$ Apply the equivalent fractions rule, $\quad \displaystyle \frac{a}{-b}=\frac{-a}{b}=-\frac{a}{b}$ Reduce by the common factor, $3$ $= -\displaystyle \frac{9}{8}$ Write as a mixed number =$ -1\displaystyle \frac{1}{8}$
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.