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It is not possible to answer the question because it is ambiguous: the answer depends on what string is repeating. It is not clear from the question whether the fraction is meant to be 0.090909... or 0.09999... .

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Q: What is 0.09 repeated as a fraction?

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0.453 repeated as a fraction = 453/999

.23 repeated as a fraction is 23/99

0.009 is already expressed as a decimal fraction. As an "ordinary" fraction, 0.009 = 9/1000

The number .475 repeated as a fraction would be 475/999.

If it's only the '4' that's repeated, then the fraction is 2/45 . If the '.04' is repeated, then the fraction is 4/99 .

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It is 1 2/3.

0.9 = 9/10 0.09 = 9/100 0.009 = 9/1,000

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It is 40/9.

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6/7