Algebra 2 (1st Edition)

Published by McDougal Littell
ISBN 10: 0618595414
ISBN 13: 978-0-61859-541-9

Chapter 8 Rational Functions - 8.5 Add and Subtract Rational Expressions - 8.5 Exercises - Skill Practice - Page 587: 32

Answer

$$\frac{75x-10}{x^2+20x}$$

Work Step by Step

To simplify complex fractions, we generally simplify the numerator and the denominator first and then simplify the overall fraction. (This is not required, but it is generally easier.) Doing this, we find: $$\frac{\frac{15x-2}{x}}{\frac{x+20}{5}} \\ \frac{\left(15x-2\right)\cdot \:5}{x\left(x+20\right)} \\ \frac{75x-10}{x^2+20x}$$
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