Elementary Technical Mathematics

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

Chapter 1 - Unit 1B Review - Page 54: 10



Work Step by Step

Convert each mixed number to an improper fraction: $=\frac{3(4)+2}{3} \div \frac{2(3)+1}{2} \times \frac{2(1)+1}{2} \\=\frac{14}{3} \div \frac{7}{2} \times \frac{3}{2}$ The order of operations states that multiplication and division have the same degree of priority and that whichever comes first from the left must be performed ahead of the other.. Perform division first while using the rule $\frac{a}{b} \div \frac{c}{d} = \frac{a}{b} \times \frac{d}{c}$ to obtain: $=(\frac{14}{3} \times \frac{2}{7})\times \frac{3}{2}$ Cancel common factors then multiply to obtain: $\require{cancel} \\=\frac{\cancel{14}2}{\cancel{3}} \times \frac{\cancel{2}}{\cancel{7}} \times \frac{\cancel{3}}{\cancel{2}} \\=2$
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