Elementary Algebra

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

Chapter 7 - Algebraic Fractions - 7.1 - Simplifying Algebraic Fractions - Problem Set 7.1: 7

Answer

$3y/4x^{2}$

Work Step by Step

In order to simplify fractions, we want to cancel out anything that is in both the numerator and the denominator of the fraction. In order to do this, we look for common factors for the values in the numerator and the denominator of the fraction. $-36x^{4}y^{3}$ and $-48x^{6}y^{2}$ have a common factor of $12x^{4}y^{2}$, so we simplify: $(12x^{4}y^{2})(-3y)/(12x^{4}y^{2})(-4x^{2})=3y/4x^{2}$
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