Algebra: A Combined Approach (4th Edition)

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

Chapter 7 - Section 7.7 - Simplifying Complex Fractions - Exercise Set: 7

Answer

$\dfrac{\dfrac{1}{2}+\dfrac{2}{3}}{\dfrac{5}{9}-\dfrac{5}{6}}=-\dfrac{21}{5}$

Work Step by Step

$\dfrac{\dfrac{1}{2}+\dfrac{2}{3}}{\dfrac{5}{9}-\dfrac{5}{6}}$ Evaluate the sum in the numerator and the substraction in the denominator: $\dfrac{\dfrac{1}{2}+\dfrac{2}{3}}{\dfrac{5}{9}-\dfrac{5}{6}}=\dfrac{\Big(\dfrac{3+4}{6}\Big)}{\Big(\dfrac{30-45}{54}\Big)}=\dfrac{\dfrac{7}{6}}{\dfrac{-15}{54}}=...$ Evaluate the division and simplify: $...=\dfrac{7}{6}\div\dfrac{-15}{54}=\dfrac{(7)(54)}{-(15)(6)}=-\dfrac{378}{90}=-\dfrac{21}{5}$
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