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0.32... = 32/99 in fraction
If that is 38 recurring then the fraction is 38/99
It is: 9/11 = 0.'81' recurring '81'
The answer depends on what string is repeating. It is not clear from the question whether the recurring fraction is meant to be 0.347347347... or 0.3474747... or 0.3477777...
61/9