Effects of a uniform magnetic field on two-dimensional (2D) electrons subject to a random magnetic field (RMF) are studied by a multifractal scaling analysis. For sufficiently strong uniform field (B¯ ???b), the RMF system is equivalent to a quantum Hall system (QHS), namely, the spectral density of states splits into subbands, and states only at the subband centers are extended with the localization-length exponent v=2.31±0.01, where B¯ is the averaged magnetic field and d b is the characteristic amplitude of the spatially fluctuating field. In the case of B¯???b , subbands overlap each other and energies of extended states shift upwards with keeping its universality class. This behavior conflicts with a recent theoretical prediction and demonstrates that 2D systems in RMF’s even with small finite means are rather close to QHS’s.