  We present a compact formula in Mellin space for the four-point tree-level
holographic correlators of chiral primary operators of arbitrary conformal
weights in $(2,0)$ supergravity on $AdS_3 \times S^3$, with two operators in
tensor multiplet and the other two in gravity multiplet. This is achieved by
solving the recursion relation arising from a hidden six-dimensional conformal
symmetry. We note the compact expression is obtained after carefully analysing
the analytic structures of the correlators. Various limits of the correlators
are studied, including the maximally R-symmetry violating limit and flat-space
limit.
