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 -0.383838... or -0.38888... .
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0.11 repeating can be written as the fraction 1/9.
0.111... repeating written as a fraction is 1/9
31/33
0.72 repeating written as a fraction in simplest form is 8/11
2/111