Elementary Algebra

Published by Cengage Learning
ISBN 10: 1285194055
ISBN 13: 978-1-28519-405-9

Chapter 2 - Real Numbers - 2.4 - Exponents - Problem Set 2.4: 77

Answer

$= \frac{5}{12ab}$

Work Step by Step

Recall, $\frac{a}{b} \div \frac{c}{d}=\frac{a}{b} \times \frac{d}{c}$. Thus, we simplify: $= (\frac{5c}{a^{2}b^{2}}) \div (\frac{12c}{ab})$ $= (\frac{5c}{a^{2}b^{2}}) \times (\frac{ab}{12c})$ In order to solve, first multiply the numerators by each other and the denominators by each other. Then, cancel out common factors in the numerator and the denominator of the fraction to obtain: $= \frac{5abc}{12a^{2}b^{2}c}$ $= \frac{5}{12ab}$
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