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: 22


$-2\dfrac{1}{12} $

Work Step by Step

Write the mixed number in imroper fraction form to obtain: $=\left(\dfrac{4(1)+1}{4}\right) \div \dfrac{3}{5} \\=-\dfrac{5}{4} \div \dfrac{3}{5}$ Use the rule $\frac{a}{b} \div \frac{c}{d} = \frac{a}{b} \times \frac{d}{c}$. Note that the product and quotient of two numbers with different signs is negative. $\require{cancel} =-\dfrac{5}{4} \times \left(\dfrac{5}{3}\right) \\=-\dfrac{5(5)}{4(3)} \\=-\dfrac{25}{12} \\=-2\dfrac{1}{12} $
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