The Lord’s part in the peace (or prosperity) offerings being the fat of the inwards, and this being consumed on the burnt offering (Lev. 3:5) and with the meat offering (Lev. 7:12), really brought them (the offering priest, the priests at large, and the worshipers) into communion with God’s own joy and delight. This was not only in the peace offering, but also in the burnt and meat offerings, of which the fat of the peace offering was “the food.”
Bible Herald, Vol. 5