College Algebra (6th Edition)

Published by Pearson
ISBN 10: 0-32178-228-3
ISBN 13: 978-0-32178-228-1

Chapter 8 - Summary, Review, and Test - Test - Page 791: 14

Answer

The repeated decimal in fractional notation = $\frac{73}{99}$

Work Step by Step

The repeated decimal can be expressed in sequence = $\frac{73}{100}$ + $\frac{73}{10000}$ + $\frac{73}{1000000}$ +.............. The common ratio (r) = $\frac{1}{100}$ The first term = $\frac{73}{100}$ The repeated decimal can be expressed in fractional notation by finding sum = $\frac{a_{1}}{1 - r}$ = $\frac{\frac{73}{100}}{1 - \frac{1}{100}}$ = $\frac{\frac{73}{100}}{\frac{99}{100}}$ = $\frac{73}{99}$
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