Although fluorinated compounds have found widespread applications in the chemical and materials industries, general and site-specific: C(sp(3))-F bond formations are still a challenging task. We report here that with the catalysis of AgNO3, various aliphatic carboxylic acids undergo efficient decarboxylative fluorination with SELECTFLUOR (R) reagent in aqueous solution, leading to the synthesis of the corresponding alkyl fluorides in satisfactory yields under mild conditions. This radical fluorination method is not only efficient and general but also chemoselective and functional-group-compatible, thus making it highly practical in the synthesis of fluorinated molecules. A mechanism involvinig Ag(III)-mediated single electron transfer followed by fluorine atom transfer is proposed for this catalytic fluorodecarboxylation.