Intermediate Algebra (6th Edition)

Published by Pearson
ISBN 10: 0321785045
ISBN 13: 978-0-32178-504-6

Chapter 6 - Section 6.3 - Simplifying Complex Fractions - Exercise Set - Page 360: 4

Answer

$\dfrac{15}{17}$

Work Step by Step

Simplify the numerator and the denominator to have; $=\dfrac{\frac{14}{7} + \frac{1}{7}}{\frac{21}{7} - \frac{4}{7}} \\=\dfrac{\frac{15}{7}}{\frac{17}{7}}$ RECALL: $\dfrac{\frac{a}{b}}{\frac{c}{d}}=\dfrac{a}{b} \cdot \dfrac{d}{c}$ Use the rule above to have: $\\=\dfrac{15}{7} \cdot \dfrac{7}{17}$ Cancel the common factors to have: $\require{cancel} \\=\dfrac{15}{\cancel{7}} \cdot \dfrac{\cancel{7}}{17} \\=\dfrac{15}{17}$
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