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 - Page 29: 93



Work Step by Step

w - $\frac{2}{3}$ = $\frac{3}{4}$ We begin by converting 1$\frac{5}{12}$ from a mixed number to an improper fraction Substitute $\frac{17}{12}$ for w $\frac{17}{12}$ - $\frac{2}{3}$ = $\frac{3}{4}$ Evaluate the expression The least common denominator for the denominators 12 and 3 is 12. To obtain denominators of 12, multiply the numerator and denominator of the second fraction by 4 $\frac{17}{12}$ - $\frac{2*4}{3*4}$ $\frac{17}{12}$ - $\frac{8}{12}$ = $\frac{17 - 8}{12}$ = $\frac{9}{12}$ Reduce to lowest terms $\frac{9}{12}$ = $\frac{3}{4}$ The statement is true. 1$\frac{5}{12}$ is the solution of the equation
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