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: 12

Answer

$\dfrac{\dfrac{7}{10}-\dfrac{3}{5}}{\dfrac{1}{2}}=\dfrac{1}{5}$

Work Step by Step

$\dfrac{\dfrac{7}{10}-\dfrac{3}{5}}{\dfrac{1}{2}}$ Evaluate the substraction indicated in the numerator: $\dfrac{\dfrac{7}{10}-\dfrac{3}{5}}{\dfrac{1}{2}}=\dfrac{\dfrac{7-3(2)}{10}}{\dfrac{1}{2}}=\dfrac{\dfrac{7-6}{10}}{\dfrac{1}{2}}=\dfrac{\dfrac{1}{10}}{\dfrac{1}{2}}=...$ Evaluate the division and simplify if possible: $...=\dfrac{1}{10}\div\dfrac{1}{2}=\dfrac{2}{10}=\dfrac{1}{5}$
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