Elementary and Intermediate Algebra: Concepts & Applications (6th Edition)

Published by Pearson
ISBN 10: 0-32184-874-8
ISBN 13: 978-0-32184-874-1

Chapter 1 - Introduction to Algebraic Expressions - 1.3 Fraction Notation - 1.3 Exercise Set: 92

Answer

1

Work Step by Step

$\frac{9\times8xy}{2xy\times36}\longrightarrow$ Use prime factorization. $\frac{(3\times3)(2\times2\times2)xy}{2xy(2\times2\times3\times3)}\longrightarrow$ Reorder smallest to largest. $\frac{2\times2\times2\times3\times3\times xy}{2\times2\times2\times3\times3\times xy}\longrightarrow$ Identify factors that cancel (indicated with a line over the top). $\frac{\overline{2\times2\times2\times3\times3\times xy}}{\overline{2\times2\times2\times3\times3\times xy}}\longrightarrow$ All factors cancel, leaving 1 in the numerator and denominator. $\frac{1}{1}$ = $1$
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