Answer
$\frac{46}{99}$
Work Step by Step
$0.4646...=46(0.01)+46(0.01)^2+...=\frac{a_1}{1-r}=\frac{46(0.01)}{1-0.01}=\frac{0.46}{0.99}=\frac{46}{99}$
Algebra 2 (1st Edition)
by Larson, Ron; Boswell, Laurie; Kanold, Timothy D.; Stiff, Lee
Published by
McDougal Littell
ISBN 10:
0618595414
ISBN 13:
978-0-61859-541-9
Chapter 12 Sequences and Series - Chapter Test - Page 843: 22
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