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We consider Device-to-Device (D2D) communications underlaying a cellular network to accommodate local services. The system aims to optimize the overall cell throughput while giving priority to the cellular service. In this paper, we study the impact of a fading environment to a D2D enabled cellular network. The results show that the system experiences an increased cellular service outage probability and a decreased cell throughput. We also show that a conservative optimization scheme can effectively control the cellular service outage. Even when using the conservative scheme the cell throughput increases significantly compared to cellular-only transmission which shows high potential of underlay D2D communications.