In this paper, we propose simple but effective modifications of 802.11 MAC (media access control) to resolve efficiency and fairness issues, in wireless ad-hoc networks [2]. Our proposal, based on the flow concept, incorporated faster end-to-end forwarding by assigning higher priority to a node that has packets to relay than others. After completion of end-to-end transmission, the node will be assigned a lower priority level to yield to other nodes. Simulation results show that the proposed scheme (F-MAC) significantly enhances the throughput of ad-hoc networks, while keeping fair sharing of bandwidth among mobile nodes.