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The answer depends on what is repeating.let f = 0.227222... repeating

then 10f = 2.2722... repeating

Subtracting the first from the second: 9f = 2.045

Therefore f = 2.045/9 = 2045/9000 which is a ratio of two integers and. therefore, rational.

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Q: How can 0.2272 repeating be a rational number?
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