As a desimal it has 12 numbers
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Multiply by 10: 9.54545454... If this is a recurring decimal then the fraction is 54/99=6/11 and the number becomes 9⁶⁄₁₁=105/11 as an improper fraction.

But we now have to divide by 10 to compensate for multiplying by 10 earlier: 105/110=21/22.
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