Suppose f = 2.811...
then 10f = 28.111...
so that 9f = 25.3
then f = 25.3/9 = 253/90 = 273/90
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Write the decimal portion of the number (0.281) as a fraction: 281/1000. 281 and 1000 do not have any common factors, so 6 281/1000 is the only answer.
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...