If one recalls how the Simplex method is taught by hand in most LP classes it takes place entirely in $\mathbb{Q}$. All operations yield exact fractions.
For this reason I'm looking for linear programming library that doesn't use floats/doubles and other imprecise arithmetic but exclusively uses exact fractions; as I had done some work assuming exact fraction representation of my vertices.
While anyone could build such a simplex solver by hand, I still want to avail the benefits of a commercial solver/well maintained open source tool in terms of speed (although I expect to lose some performance if not using state of the art algorithms/floating point arithmetic). What options are out there?