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: 27

Answer

$\dfrac{1}{2+\dfrac{1}{3}}=\dfrac{3}{7}$

Work Step by Step

$\dfrac{1}{2+\dfrac{1}{3}}$ Evaluate the sum indicated in the denominator: $\dfrac{1}{2+\dfrac{1}{3}}=\dfrac{1}{\dfrac{6+1}{3}}=\dfrac{1}{\dfrac{7}{3}}...$ Evaluate the division and simplify if possible: $...=1\div\dfrac{7}{3}=\dfrac{3}{7}$
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