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...
If that is 38 recurring then the fraction is 38/99
0.32... = 32/99 in fraction
It is: 9/11 = 0.'81' recurring '81'
7/11
16/330
17/99
0.1717 recurring written as a fraction is 17/99
If all three digits are recurring then as a fraction it is 136/999
0.75 recurring written as a fraction is 25/33
0.9 recurring as a fraction is equal to 1. I know its crazy. But its true.
To convert a fraction to a decimal, divide the denominator into the numerator. Whether it is recurring or not depends on the fraction.
The mole fraction must be calculated in moles solvent over moles solution. So, 3.4 grams sulfuric acid equals .0347 moles sulfuric acid. 3500 mL water equals 3500 g water equals 194 mols. .0347 mols/(.0347+194) = 1/5591.77 mols/mol
Although it is a terminating fraction, it can be written as a recurring fraction as: 0.47000000... or 0.46999999...
If its a recurring decimal then it is -11/3 as a fraction
If it is a recurring decimal then its fraction is 1/9
If its recurring 6 then as a fraction it is 2/3
If that is 38 recurring then the fraction is 38/99