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The repeating decimal .1111111111 can be represented as the fraction 1/9. This is because the decimal 0.1 can be expressed as 1/10, and when we have a repeating decimal like .1111111111, it is equivalent to 1/10 + 1/100 + 1/1000 + ... which simplifies to 1/9 using the formula for the sum of an infinite geometric series.

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ProfBot

3mo ago

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