Elementary Algebra

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

Chapter 2 - Real Numbers - 2.2 - Addition and Subtraction of Rational Numbers - Concept Quiz 2.2 - Page 57: 10



Work Step by Step

The first step is to find the actual value of the first statement. $\frac{2}{3}x-\frac{1}{4}x+\frac{5}{6}x$ The denominators can be changed to 12 as it is the lowest common multiple, allowing the fractions to be added and subtracted. $\frac{8}{12}x-\frac{3}{12}x+\frac{10}{12}x=\frac{15}{12}x$ Since $\frac{15}{12}x\ne\frac{13}{12}x$, the statement is false.
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