1535-45; < Middle Frenchdéfrayer,Old Frenchdeffroier to pay costs, equivalent to de-dis-1 + frayer to bear the costs, derivative of frais, fres (plural) costs, probably < Latinfrācta things broken (see fracture), hence, expense incurred from breakage
1540s, from M.Fr. defraier, from des- "out" + fraier "spend," from O.Fr. frais "costs, damages caused by breakage," from L. fractum, neuter pp. of frangere "to break" (see fraction). Alternative etymology traces second element to O.H.G. fridu "peace."