Elementary Algebra

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

Chapter 2 - Real Numbers - 2.1 - Rational Numbers: Multiplication and Division - Problem Set 2.1: 31

Answer

$-\frac{4}{3}$

Work Step by Step

First, we multiply the numerators by each other and the denominators by each other: $-\frac{6}{13}\times\frac{26}{9}=-\frac{6\times26}{13\times9}=-\frac{156}{117}$ Next, we simplify the resultant expression to obtain the answer: $-\frac{156}{117}=-\frac{52\times3}{39\times3}=-\frac{52}{39}=-\frac{13\times4}{13\times3}=-\frac{4}{3}$
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