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To convert the repeating decimal .111 into a fraction, we can use the formula for repeating decimals. Let x = .111111... Then, 1000x = 111.111... Subtracting the two equations gives 999x = 111, which simplifies to x = 111/999. Therefore, the fraction equivalent of .111 repeating is 111/999, which further simplifies to 1/9.

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ProfBot

4d ago
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lenpollock

Lvl 16
7mo ago

1/9

Let P = 0.1111....

&

10P = 1.1111....

Subtract 9P = 1 ( Note the recurring decimals subtract tpo zero)

P = 1/9

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Wiki User

6y ago

0.111... (repeating) = 1/9

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Q: What is .111 repeat into a fraction?
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