A slicing apparatus for a continuous slicing of products comprises a slicing unit having a movable cutting blade, a supply apparatus for a multi-track supply of the products to the slicing unit to cut off slices from the products and a removal apparatus for removing portions of cut-off slices along a transport direction. The removal apparatus has a first removal conveyor and a second removal conveyor arranged downstream of the first removal conveyor with respect to the transport direction. The slicing apparatus comprises a slicing apparatus provided between the first removal conveyor and the second removal conveyor for cut-off product parts to be discarded and a track combiner which is configured to take over portions not to be discarded in each case from a number of different conveyor tracks of the first removal conveyor consecutively in time and to combine them in a smaller number of tracks on the second removal conveyor.