Algebra: A Combined Approach (4th Edition)

Published by Pearson
ISBN 10: 0321726391
ISBN 13: 978-0-32172-639-1

Chapter 7 - Section 7.2 - Multiplying and Dividing Rational Expressions - Vocabulary and Readiness Check - Page 499: 1


Answer: $Reciprocals$

Work Step by Step

$\frac{x}{2y}$ and $\frac{2y}{x}$ are reciprocals. A reciprocal of any nonzero fraction is 1 over that fraction. Reciprocal of $\frac{x}{2y}$ = $\frac{1}{\frac{x}{2y}}$ = $\frac{2y}{x}$. (For the reciprocal of a nonzero fraction, exchange the numerator with the denominator and the denominator with the numerator.) Also, the product of the reciprocals is always = 1: $\frac{x}{2y}$ $\times$ $\frac{2y}{x}$ = 1 .......(Since $\frac{x}{x}$ = 1 and $\frac{2y}{2y}$ =1).
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