Answer
$\frac{2}{3}$
Work Step by Step
Let $0.\overline{6}=x$, then $6.\overline{6}=10x$.
Thus $6.\overline{6}-0.\overline{6}=10x-x\\6=9x\\x=\frac{6}{9}=\frac{2}{3}$
College Algebra (6th Edition)
by Blitzer, Robert F.
Published by
Pearson
ISBN 10:
0-32178-228-3
ISBN 13:
978-0-32178-228-1
Chapter 8 - Summary, Review, and Test - Review Exercises - Page 789: 50
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