Motion-compensated prediction adopts fractional-pixel interpolation to obtain the best motion vector. Traditional fixed interpolation filters cannot handle various content and structures well, and existing convolutional neural network based methods cannot fully exploit the distortion characteristics for fractional interpolation. Therefore, this paper proposes a distortion-aware multi-task learning framework (DA-MLF) to perform fractional interpolation. First, a multi-task training framework is proposed to provide the distortion characteristics as complementary information for improving the performance of subsequent interpolation. Then, a uniform interpolation sub-network is proposed to accomplish fractional interpolation, which utilizes the feature fusion module to fuse abundant local features, and the distortion awareness module to capture the multi-scale information of compression artifacts. Furthermore, DA-MLF is integrated into High Efficiency Video Coding (HEVC) test model, and multiple experiments are performed to evaluate the effectiveness of our method. On HEVC testing sequences, DA-MLF achieves 5.0%, 4.0% and 1.7% BD-rate reduction on average compared to the HEVC baseline, under low-delay P, low-delay B and random-access configurations, respectively. The experimental results validate that our framework not only achieves the best interpolation performance but also has the lowest computational complexity compared with state-of-the-art methods.