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: 32


$-2\displaystyle \frac{1}{4}$

Work Step by Step

Apply the equivalent fractions rule, $\quad \displaystyle \frac{a}{-b}=\frac{-a}{b}=-\frac{a}{b}$ $\displaystyle \frac{-1}{-4}=-\frac{1}{-4}=-(-\frac{1}{4})=+\frac{1}{4}$ So, the problem becomes $=\displaystyle \left(-2 \right) -\left(+\frac{1}{4} \right)$ Change the sign of the number being subtracted and add $=\displaystyle \left(-2 \right) +\left(-\frac{1}{4} \right)$ Apply the rule: "Adding two numbers with like signs". $=-2\displaystyle \frac{1}{4}$
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