Disclosed is a combination of hydrofluoroolefins and/or hydrochlorofluoroolefins with stabilizers wherein the stabilizers minimize the degradation of the hydrofluoroolefins and hydrochlorofluoroolefins during storage, handling and use yet allow for atmospheric degradation. The combinations exhibit low or zero ozone depletion potential and lower global warming potential making them of interest as replacements for chlorofluorocarbons and hydrfluorocarbons. The combinations of the present invention comprise hydrofluoroolefins and/or hydrochlorofluoroolefins in combination with a stabilizer or stabilizers selected from free radical scavengers, acid scavengers, oxygen scavengers, polymerization inhibitors and combinations thereof.