The effects of the introduction of right-handed currents are considered for weak interactions of ordinary hadrons. In particular, we derive the expressions for effective Hamiltonians of weak nonleptonic interactions with S=1, S=2 and of weak radiative decays. The coefficients occurring in the operator expansion of the effective Hamiltonians are found, taking into account strong interactions at short distances in the frame of quantum chromodynamics. Strong interactions diminish the effect of right-handed currents. Our conclusion is that right-handed currents are not important for weak interactions of ordinary hadrons.