Introductory Algebra for College Students (7th Edition)

Published by Pearson
ISBN 10: 0-13417-805-X
ISBN 13: 978-0-13417-805-9

Chapter 1 - Section 1.2 - Fractions in Algebra - Exercise Set: 86

Answer

$\frac{5}{6}$

Work Step by Step

$\frac{3}{2} - \frac{2}{3}$ The least common denominator for the denominators 2 and 3 is 6. To obtain denominators of 6, multiply the numerator and denominator of the first fraction by 3 and second fraction by 2 $\frac{3}{2} - \frac{2}{3}$ = $\frac{3*3}{2*3} - \frac{2*2}{3 *2}$ $\frac{9}{6} - \frac{4}{6}$ Calculate difference of the numerators and put this difference over the least common denominator. $\frac{9-4}{6}$ = $\frac{5}{6}$
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