Elementary Technical Mathematics

Published by Brooks Cole
ISBN 10: 1285199197
ISBN 13: 978-1-28519-919-1

Chapter 1 - Section 1.8 - Multiplication and Division of Fractions - Exercise: 29

Answer

$\dfrac{27}{32}$

Work Step by Step

Use the rule $\frac{a}{b} \div \frac{c}{d} = \frac{a}{b} \times \frac{d}{c}$ to obtain: $=\frac{7}{9} \times \frac{3}{8} \times \frac{81}{28}$ Cancel common factors to obtain: $\require{cancel} =\frac{\cancel{7}}{\cancel{9}} \times \frac{3}{8} \times \frac{\cancel{81}9}{\cancel{28}4} \\=\frac{3}{8} \times \frac{9}{4} \\=\frac{27}{32} $
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