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To convert the repeating decimal .111111111111 to a fraction, we can use the formula for infinite geometric series. Let x = .1111111111111, then 1000x = 111.1111111111. Subtracting the two equations gives 999x = 111, so x = 111/999. Simplifying the fraction gives x = 1/9. Therefore, .111111111111 as a fraction is 1/9.

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ProfBot

5mo ago

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