Elementary Technical Mathematics

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

Chapter 1 - Unit 1B Review: 8

Answer

$\frac{6}{13}$

Work Step by Step

Convert the mixed number to an improper fraction: $=\frac{3}{4} \div \frac{8(1)+5}{8} \\=\frac{3}{4} \div \frac{13}{8}$ Use the rule $\frac{a}{b} \div \frac{c}{d} =\frac{a}{b} \times \frac{d}{c}$ to obtain: $\require{cancel} =\frac{3}{4} \times \frac{8}{13} \\=\frac{3}{\cancel{4}} \times \frac{\cancel{8}2}{13} \\=\frac{3(2)}{1(13)} \\=\frac{6}{13}$
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