## Prealgebra (7th Edition)

Published by Pearson

# Chapter 4 - Section 4.8 - Solving Equations Containing Fractions - Exercise Set: 68

#### Answer

The solution is -3

#### Work Step by Step

$\frac{a}{6}$ =$\frac{a}{3}$ + $\frac{1}{2}$ Multiply by LCD, 6 6$\frac{a}{6}$ =6$\frac{a}{3}$ +6 $\frac{1}{2}$ $\frac{6 \times a}{6}$ =$\frac{6 \times a}{3}$ + $\frac{6 \times1}{2}$ a =$\frac{2\times3\times a}{3}$ + $\frac{2\times3 \times1}{2}$ a=2a +3 a-2a=2a-2a+3 -a=3 a=-3 The solution is -3 Check Replace a with -3 $\frac{a}{6}$ =$\frac{a}{3}$ + $\frac{1}{2}$ $\frac{-3}{6}$ =$\frac{-3}{3}$ + $\frac{1}{2}$ LCD is 6 6$\frac{-3}{6}$ =6$\frac{-3}{3}$ +6 $\frac{1}{2}$ -3=2$\times$-3 +3 -3=-6+3 -3=-3

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