  In this paper, we study a class of nonsmooth fractional programs {\rm (FP,
for short)} with SOS-convex semi-algebraic functions. Under suitable
assumptions, we derive a strong duality result between the problem (FP) and its
semidefinite programming (SDP) relaxations. Remarkably, we extract an optimal
solution of the problem (FP) by solving one and only one associated SDP
problem. Numerical examples are also given.
