Answer
$\frac{56}{99}$
Work Step by Step
$n=0.565656...$
$100n=56.565656...$
$99n=100n-n=56.565656...-0.565656...=56$
$99n=56$
$n=\frac{56}{99}$
Discrete Mathematics with Applications 4th Edition
by Epp, Susanna S.
Published by
Cengage Learning
ISBN 10:
0-49539-132-8
ISBN 13:
978-0-49539-132-6
Chapter 4 - Elementary Number Theory and Methods of Proof - Exercise Set 4.2 - Page 168: 5
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