Taking into account of anisotropy in seismic imaging and inversion from wide-aperture (long-offset,wide-azimuth) acquisitions is necessary because of the intrinsic differences between velocities and polarization in different directions of propagation. Although the acoustic anisotropic wave equation has no physical reality, some works have shown that it allows one to compute sufficiently accurate pressure wavefields for reverse-time migration (and even for full-waveform inversion in moderate anisotropic media).However, the published accuracy investigations of acoustic approximation from a dynamic viewpoint limited to isotropic and vertical transversely isotropic media. In this study, we demonstrate the amplitude accuracy of the anisotropic acoustic and pure-mode qP-wave equations for fractured media with azimuthal anisotropy. From the reflected qP-wave amplitudes, we observe that acoustic approximate and the pure-mode qP-wave equations have comparable accuracy but show significant errors when they are compared with the elastic wave equations.