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In this paper, we consider the Fisher-Snedecor F composite fading channel model and derive exact closed-form expressions for the symbol error rate (SER) of M-ary pulse amplitude modulation (M-PAM) and M-ary quadrature amplitude modulation (M-QAM). We also derive asymptotic expressions for the SER of M-PAM and M-QAM to study the behavior of SER at high values of signal-to-noise ratio. Moreover, we derive an exact closed-form expression for the average capacity. The derived expressions are evaluated for different values of the fading parameters to show the effects of shadowing and small-scale fading on the performance of SER and capacity. Simulation results are also provided to show the accuracy of the derived expressions.