Basic College Mathematics (10th Edition)

Published by Pearson
ISBN 10: 0134467795
ISBN 13: 978-0-13446-779-5

Chapter 9 - Basic Algebra - 9.3 Multiplying and Dividing Signed Numbers - 9.3 Exercises - Page 646: 69

Answer

$\frac{2}{3}$

Work Step by Step

1. $\frac{-\frac{5}{7}}{-\frac{15}{14}}$=$\frac{\frac{5}{7}}{\frac{15}{14}}$ Cancel the Minus sign 2. $\frac{\frac{5}{7}}{\frac{15}{14}}$= $\frac{5}{7}\times\frac{14}{15}$ Extract the denominator 3. $\frac{5}{7}\times\frac{14}{15}$=$\frac{1}{1}\times\frac{2}{3} $ Cancel Common Multiples Divide 5 and 15 by 5 to get 1 and 3 respectively Divide 7 and 14 by 7 to get 1 and 2 respectively 4. ∴ Answer = $\frac{1}{1}\times\frac{2}{3} $=$\frac{2}{3}$
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