  Partial fraction methods play an important role in the study of multiple zeta
values. One class of such fractions is related to the integral representations
of MZVs. We show that this class of fractions has a natural structure of
shuffle algebra. This finding conceptualizes the connections among the various
methods of stuffle, shuffle and partial fractions in the study of MZVs. This
approach also gives an explicit product formula of the fractions.
