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: 8

Answer

$\dfrac{\dfrac{3}{4}-\dfrac{1}{2}}{\dfrac{3}{8}+\dfrac{1}{6}}=\dfrac{6}{13}$

Work Step by Step

$\dfrac{\dfrac{3}{4}-\dfrac{1}{2}}{\dfrac{3}{8}+\dfrac{1}{6}}$ Evaluate the substraction indicated in the numerator and the sum indicated in the denominator: $\dfrac{\dfrac{3}{4}-\dfrac{1}{2}}{\dfrac{3}{8}+\dfrac{1}{6}}=\dfrac{\dfrac{3-2}{4}}{\dfrac{9+4}{24}}=\dfrac{\dfrac{1}{4}}{\dfrac{13}{24}}=...$ Evaluate the division and simplify: $...=\dfrac{1}{4}\div\dfrac{13}{24}=\dfrac{24}{4(13)}=\dfrac{6}{13}$
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