Answer
$x=\frac{47}{99}$
Work Step by Step
Let $0.\overline{47}=x$, then $47.\overline{47}=100x$.
Thus $47.\overline{47}-0.\overline{47}=100x-x\\47=99x\\x=\frac{47}{99}$
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: 51
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