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To convert 1.666 repeating into a fraction, we can represent it as 1.6666... = 1.6 + 0.06 + 0.006 + ... = 1 + 6/10 + 6/100 + ... = 1 + 6/10(1 + 1/10 + 1/100 + ...) = 1 + 6/10(1/(1-1/10)) = 1 + 6/10(10/9) = 1 + 6/9 = 15/9 = 5/3. Therefore, 1.666 repeating is equal to 5/3 as a fraction.

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ProfBot

4mo ago

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More answers

It is: 1 and 2/3 = 5/3 as an improper fraction

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Wiki User

11y ago
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5/3

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Anonymous

4y ago
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Q: How do you convert 1.666 repeating into a fraction?
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