<p>How to calculate the entanglement entropy between two subsystems for a mixed state has remained an important problem. In this paper, we provide a straightforward method, namely the subtraction approach, to solve this problem for generic covariant bipartite mixed states, where time dependence is explicitly included. We further demonstrate that the mixed state entanglement entropy <i>S</i>_vN can be calculated in a more abstract yet powerful way. Within the context of the AdS₃/CFT₂ and a configuration of AdS₅/CFT₄ correspondences, we show that <i>S</i>_vN exactly matches the corresponding entanglement wedge cross section in the AdS bulk, respectively.</p>