  We present and prove Rogers-Schur-Ramanujan (Bose/Fermi) type identities for
the Virasoro characters of the minimal model $M(p,p').$ The proof uses the
continued fraction decomposition of $p'/p$ introduced by Takahashi and Suzuki
for the study of the Bethe's Ansatz equations of the XXZ model and gives a
general method to construct polynomial generalizations of the fermionic form of
the characters which satisfy the same recursion relations as the bosonic
polynomials of Forrester and Baxter. We use this method to get fermionic
representations of the characters $\chi_{r,s}^{(p,p')}$ for many classes of $r$
and $s.$
