This paper concerned the scattering phenomenon for the mass-supercritical focusing fractional Hartree equation below the ground state threshold. A simple new proof for the radial initial data case is showed here. More specifically, we get the scattering criterion by radial Sobolev embedding inequality and Hardy-Littlewood-Sobolev inequality. Then, combining Balakrishnan's formula, the corresponding Morawetz estimation is obtained. Finally, we prove the scattering result in a new way, which does not require the concentration-compactness.