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. (a) Write the repeating decimal 0.232323 …as a geometric series using the fact that 0.232323 …= 0.23 0.0023 0.000023 ⋯(b) Use the formula for the sum of a geometric series to show that 0.232323 …=23 / 99 | Numerade
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