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 118: 31


$3\displaystyle \frac{1}{4}$

Work Step by Step

$\displaystyle \left(\frac{-6}{8} \right)-\left(-4 \right) = \qquad $ Change the sign of the number being subtracted and add. Also reduce $\displaystyle \frac{-6}{8}$ to lowest terms. $=\displaystyle \left(\frac{-3}{4} \right)+\left(+4 \right) $ We can write 4 as $3+1=3+\displaystyle \frac{4}{4}=3\frac{4}{4}$ $=\displaystyle \left(\frac{-3}{4} \right)+\left(+3\frac{4}{4} \right) $ Add as mixed numbers: $=3+\displaystyle \frac{-3+4}{4}$ Apply rule: adding two numbers with unlike signs $=3\displaystyle \frac{1}{4}$
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