  We study the Hodge numbers of Landau-Ginzburg models as defined by Katzarkov,
Kontsevich and Pantev. First we show that these numbers can be computed using
ordinary mixed Hodge theory, then we give a concrete recipe for computing these
numbers for the Landau-Ginzburg mirrors of Fano threefolds. We finish by
proving that for a crepant resolution of a Gorenstein toric Fano threefold $X$
there is a natural LG mirror $(Y,\mathsf{w})$ so that $h^{p,q}(X) =
f^{3-q,p}(Y,\mathsf{w})$.
