The answer depends on what string is repeating. It is not clear from the question whether the recurring fraction is meant to be 0.161616... or 0.16666... . Furthermore, the absolute value of the fraction is less than 1 and so it cannot be equal to any mixed fraction
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16/99
16/99
4/9
It is -16. It is a whole number so is neither a fraction nor a mixed number.
1.101010... = 1 10/99 (as a mixed number) = 109/99 (as an improper fraction)