NOVELTY - Hydroconversion method comprises: combining a low value petroleum derived hydrocarbon (12) with at least one biorenewable feedstock (14) to form a combined feed (18); reacting the combined feed with at least one catalyst in a hydroconversion reaction zone (22) at hydroconversion reaction conditions to form a hydroconversion reaction product; and withdrawing the hydroconversion reaction product from the reaction zone.    USE - The method is useful for the hydroconversion of a slurry-phase combined feed comprising low value petroleum derived hydrocarbon and biorenewable feedstock to hydroconversion reaction product (claimed), which is diesel, naphtha, kerosene and gasoline.    ADVANTAGE - The method forms a synergistic combined feed, which includes the combination of a low value petroleum derived hydrocarbon and a biorenewable feedstock, this produces a hydroconversion reaction zone product with enhanced yields or properties in comparison to reaction products of 100% feeds of either feed ingredient, when processed in a hydroconversion reaction zone. The method provides reduced yields of one or more undesirable reaction products (which are water and oxygen) and/or undesirable compounds in the hydrocarbon reaction products.    DETAILED DESCRIPTION - An INDEPENDENT CLAIM is included for a hydroconversion reaction zone comprising: a hydroconversion reactor vessel (16) having one or more feed inlets and one or more product outlets, where the reactor vessel contains a combined feed and a sulfided microparticulate dispersed metal catalyst, and the reactor vessel is maintained at a temperature of 350-500 degrees C and a pressure of 1000-3000 psig; one or more inlet streams that together form a combined feed further comprising hydrogen, a low value petroleum derived hydrocarbon and at least one biorenewable feedstock; and one or more outlet streams that together form a hydroconversion reactor product.    DESCRIPTION OF DRAWING(S) - The figure shows the schematic representation of hydroconversion process and the reaction zone.    Low value petroleum derived hydrocarbon feed (12)    Biorenewable feedstock stream (14)    Pre-feed reaction vessel (16)    Multi-phase combined feed stream (18)    Hydroconversion reaction zone (22)