Algebra: A Combined Approach (4th Edition)

Published by Pearson
ISBN 10: 0321726391
ISBN 13: 978-0-32172-639-1

Chapter 7 - Review: 78

Answer

$\frac{2}{3}$

Work Step by Step

Step 1: $\frac{4+\frac{2}{x}}{6+\frac{3}{x}}$ Step 2: $\frac{(4\times\frac{x}{x})+(\frac{2}{x}\times\frac{1}{1})}{(6\times\frac{x}{x})+(\frac{3}{x}\times\frac{1}{1})}$ Step 3: $\frac{\frac{4x}{x}+\frac{2}{x}}{\frac{6x}{x}+\frac{3}{x}}$ Step 4: $\frac{\frac{4x+2}{x}}{\frac{6x+3}{x}}$ Step 5: $\frac{4x+2}{x}\div\frac{6x+3}{x}$ Step 6: $\frac{4x+2}{x}\times\frac{x}{6x+3}$ Step 7: $\frac{4x+2}{6x+3}$ Step 8: $\frac{2(2x+1)}{3(2x+1)}$ Step 9: $\frac{2}{3}$
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