Elementary Technical Mathematics

Published by Brooks Cole
ISBN 10: 1285199197
ISBN 13: 978-1-28519-919-1

Chapter 2 - Section 2.4 - Signed Fractions - Exercises - Page 118: 19



Work Step by Step

Convert each mixed number to an improper fraction to obtain: $=\left(-\dfrac{3(3)+1}{3}\right)\left(-\dfrac{5(1)+4}{5}\right) \\=\left(-\dfrac{10}{3}\right)\left(-\dfrac{9}{5}\right)$ Multiply the numerators together and the denominators together. Note that the product of two negative numbers is positive, $\require{cancel} \\=\dfrac{10(9)}{3(5)} \\=\dfrac{\cancel{10}^2(\cancel{9}^3)}{\cancel{3}(\cancel{5)}} \\=2(3) \\=6$
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