A repeating decimal can always be expressed as a fraction.
Chapter , Problem 13.4.18(choose chapter or problem)
A repeating decimal can always be expressed as a fraction. This problem shows how writing a repeating decimal as a geometric series enables you to find the fraction. Consider the decimal 0.232323 . (a) Use the fact that 0.232323 = 0.23 + 0.0023 + 0.000023 + to write 0.232323... as a geometric series. (b) Use the formula for the sum of a geometric series to show that 0.232323 = 2399.
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