Answer
1/9
Work Step by Step
Because each digit of $0.1\bar 1$ is exactly one-third of the corresponding digit in $0.3\bar 3$, $0.1\bar 1$ is exactly 1/3 of $0.3\bar 3$, so $0.1\bar 1=(1/3)*(1/3)=1/9$.
Elementary and Intermediate Algebra: Concepts & Applications (6th Edition)
by Bittinger, Marvin L.; Ellenbogen, David J.; Johnson, Barbara L.
Published by
Pearson
ISBN 10:
0-32184-874-8
ISBN 13:
978-0-32184-874-1
Chapter 1 - Introduction to Algebraic Expressions - 1.4 Positive and Negative Real Numbers - 1.4 Exercise Set - Page 36: 93
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