The present application provides azeotrope or azeotrope-like compositions comprising dimethyl carbonate and a perfluoroheptene ether or a perfluoropentene ether, wherein the perfluoroheptene ether or perfluoropentene ether is present in the composition in an amount effective to form an azeotrope composition or azeotrope-like composition with the dimethyl carbonate. Methods of using the composition provided herein in cleaning and carrier fluid applications are also provided.