Question 34
Amongst the fractions $$\frac1{175},\frac2{175},\frac3{175},\ldots,\frac{174}{175},$$ there are some which can be reduced to a fraction with a smaller denominator such as $\frac5{175}=\frac1{35}$, and there are some that cannot be reduced further like $\frac1{175}$. Find the sum of all the fractions which cannot be reduced further.