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: 23

Answer

$\dfrac{7}{24} $

Work Step by Step

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 the same signs is positive. $\require{cancel} =-\dfrac{7}{9} \times \left(-\dfrac{3}{8}\right) \\=-\dfrac{7}{\cancel{9}^3} \times \left(-\dfrac{\cancel{3}}{8}\right) \\=-\dfrac{7}{3} \times \left(-\dfrac{1}{8}\right) \\=\dfrac{7(1)}{3(8)} \\=\dfrac{7}{24} $
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