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: 59

Answer

$\frac{3}{4}$ $\times$ $\frac{8}{9}$ $\times$ $\frac{12}{20}$ = $\frac{2}{5}$

Work Step by Step

$\frac{3}{4}$ $\times$ $\frac{8}{9}$ $\times$ $\frac{12}{20}$ = Multiply the numerators by each other, and multiply the denominators by each other $\frac{3\ \times\ 8\ \times\ 12}{4\ \times\ 9\ \times\ 20}$ = Factor the numerator and the denominator $\frac{3\ \times\ 2\ \times\ 2\ \times\ 2\ \times\ 2\ \times\ 2\ \times 3}{2\times2\times3\times3\times2\times2\times5}$ = Cancel the common factors between the numerator and the denominator to obtain: $\frac{2}{5}$
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