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 - 1.7 Multiplication and Division of Real Numbers - 1.7 Exercise Set: 38

Answer

$\dfrac{1}{4}$

Work Step by Step

The product of two numbers with the same sign is positive. Furthermore, to multiply fractions, multiply the numerators and multiply the denominators. Then cancel any common factor between the numerator and the denominator. Hence, the product of the given expression, $ -\dfrac{5}{8}\cdot \left( -\dfrac{2}{5} \right) $, is \begin{array}{l}\require{cancel} \dfrac{10}{40} \\\\= \dfrac{\cancel{10}}{\cancel{10}\cdot4} \\\\= \dfrac{1}{4} .\end{array}
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