Algebra 2 Common Core

Published by Prentice Hall
ISBN 10: 0133186024
ISBN 13: 978-0-13318-602-4

Chapter 8 - Rational Functions - 8-5 Adding and Subtracting Rational Expressions - Practice and Problem-Solving Exercises - Page 539: 28

Answer

$\dfrac{2}{5}$

Work Step by Step

Rewrite this fraction as a division problem: $\dfrac{2}{x + y} \div \frac{5}{x + y}$ To divide one fraction by another, multiply the first fraction by the reciprocal of the second fraction: $=\dfrac{2}{x + y} \times \dfrac{x + y}{5}$ Multiply numerator with numerator and denominator with denominator: $=\dfrac{2(x + y)}{5(x + y)}$ Cancel common terms in the numerator and denominator: $=\dfrac{2}{5}$
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