This disclosure relates to processes which involve: contacting a mixture comprising at least one fluoroolefin and at least one RfC≡CX impurity with at least one zeolite to reduce the concentration of the at least one RfC≡CX impurity in the mixture; wherein Rf is a straight-chain perfluorinated alkyl group, and X is H, F, Cl, Br or I; and the at least one zeolite is selected from the group consisting of zeolites having pore opening of at least 4 Angstroms and no more than about 5 Angstroms, zeolites having pore opening of at least about 5 Angstroms and Sanderson electronegativity of no more than about 2.6, and mixtures thereof; provided that the at least one zeolite is not zeolite 4A. This disclosure also relates to processes for making at least one hydrotetrafluoropropene product selected from the group consisting of CF3CF═CH2, CF3CH═CHF, and mixtures thereof; and relates to processes for making at least one hydrochlorotrifluoropropene product selected from the group consisting of CF3CCl═CH2, CF3CH═CHCl, and mixtures thereof.