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 - Page 76: 92


$= \frac{5y + 7x - 1}{xy}$

Work Step by Step

1) Multiply a fraction with the other denominator to obtain a common denominator between the three fractions. In this case, we multiply the first fraction by $y/y$, the second fraction by $x/x$, and the third fraction we simply leave alone as we already have a common denominator of $xy$ 2) Add and then subtract $= \frac{5}{x} + \frac{7}{y} - \frac{1}{xy}$ $= \frac{5y}{xy} + \frac{7x}{xy} - \frac{1}{xy}$ $= \frac{5y + 7x - 1}{xy}$
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