A power transformation of theFdistribution is presented, yielding simple normal approximations for both probabilities and quantiles of the distribution. The transformation proposed is shown to produce the well-known Wilson-Hilferty cube root transformation (Wilson and Hilferty, 1931) for the chi-square distribution as a limiting case, as well as the Fisher logarithmic transformation (Fisher, 1924, 1925) for equal degrees of freedom. A numerical assessment of the accuracy achieved for approximating tail probabilities and a comparison with some of the existing approximate procedures are given.