Using the equation of motion, we investigate theoretically the dynamical ac conductance of a clean Luttingerliquid quantum wire adiabatically coupled to Fermi liquid electron reservoirs in the presence of short-ranged electron-electron interactions. For a perfect single mode quantum wire, in the limit of zero-ranged interaction we conclude that the static dc conductance of ω→ 0 is e2/h, which is independent of the electron interactions. While in the dynamical case of ω≠ 0, the ac conductance oscillates with the amplitude e2/h and the period which depends on the interaction strength and the driving frequency as well as the position in the wire.