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: 21

Answer

$-\dfrac{9}{10} $

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 different signs is negative. $\require{cancel} =\dfrac{4}{5} \times \left(-\dfrac{9}{8}\right) \\=\dfrac{\cancel{4}}{5} \times \left(-\dfrac{9}{\cancel{8}^2}\right) \\=-\dfrac{1(9)}{5(2)} \\=-\dfrac{9}{10} $
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