Algebra

We can easily just list the values we have 

$\frac{1}{3}, \frac{2}{3}, \frac{4}{3},\frac{5}{3}, \frac{7}{3}, \frac{8}{3}, \frac{10}{3}, \frac{11}{3}, \frac{13}{3}, \frac{14}{3}$

The numbers we excluded like 3/3 or 6/3 are not in simplest form, so we ignore them. 

Adding all these fractions up, we get $75/3=25$

So 25 is our answer. 

Thanks! :)