0.32... = 32/99 in fraction
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If that is 38 recurring then the fraction is 38/99
.032 = 32/1000 = 4/125
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