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Call this number "x", equal to 0.166166166...

1000x = 166.166166166...

x = 0.166166166...

Subtract the second equation from the first, you get:

999x = 166

Solving for x:

x = 166/999.

Note: I multiplied by 1000, because three digits are repeating (and 1000 has 3 digits).

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βˆ™ 13y ago
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βˆ™ 10y ago

166/199

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Q: What fraction will produce this recurring decimal 166166166?
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