Prealgebra (7th Edition)

Published by Pearson
ISBN 10: 0321955048
ISBN 13: 978-0-32195-504-3

Chapter 4 - Review: 85

Answer

$\frac{29}{110}$

Work Step by Step

$\frac{9}{10}\times\frac{1}{3}-\frac{2}{5}\times\frac{1}{11}\ \longrightarrow$ multiplication is done before subtraction =$\frac{/\!\!3\times3}{10}\times\frac{1}{/\!\!3}-\frac{2}{55}\ \longrightarrow$ eliminate common factors =$\frac{3}{10}-\frac{2}{55}$ =$\frac{3\times55}{10\times55}-\frac{2\times10}{55\times10}\ \longrightarrow$ convert to like fractions; LCD is 550 =$\frac{165}{550}-\frac{20}{550}\ \longrightarrow$ subtract =$\frac{145}{550}$ =$\frac{145\div5}{550\div5}\ \longrightarrow$ reduce =$\frac{29}{110}$
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