## Introductory Algebra for College Students (7th Edition)

Published by Pearson

# Chapter 1 - Section 1.2 - Fractions in Algebra - Exercise Set: 94

solution

#### Work Step by Step

w - $\frac{3}{4}$ = $\frac{7}{4}$ We begin by converting 2$\frac{1}{2}$ from a mixed number to an improper fraction substitute $\frac{5}{2}$ for w $\frac{5}{2}$ - $\frac{3}{4}$ = $\frac{7}{4}$ Evaluate the expression The least common denominator for the denominators 2 and 4 is 4. To obtain denominators of 4, multiply the numerator and denominator of the first fraction by 2 $\frac{5*2}{2*2}$ - $\frac{3}{4}$ $\frac{10}{4}$ - $\frac{3}{4}$ = $\frac{10 - 3}{4}$ = $\frac{7}{4}$ The statement is true. 2$\frac{1}{2}$ is the solution of the equation

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