Algebra 1

Published by Prentice Hall
ISBN 10: 0133500403
ISBN 13: 978-0-13350-040-0

Chapter 11 - Rational Expressions and Functions - 11-4 Adding and Subtracting Rational Expressions - Practice and Problem-Solving Exercises - Page 677: 52

Answer

$-\frac{3y}{8x}$

Work Step by Step

The given expression is equivalent to $$ \frac{\frac{-3}{x}}{\frac{8}{y}}=\frac{-3}{x}\div\frac{8}{y} .$$ Multiplying by the reciprocal of the divisor, the expression above is equivalent to $$ \frac{-3}{x}\cdot\frac{y}{8}=-\frac{3y}{8x} .$$Hence, the given expression simplifies to $-\frac{3y}{8x}$.
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