The smoothing device has a support arm (1) arranging the smoothing device at a frame. A support beam (4) is rotatably fastened to a holder around a hinge axis (9) by a hinge device. The support beam extends transverse to a driving direction (3). Smoothing elements (5) are arranged at the beam. The hinge device is designed such that the beam with the smoothing elements pivots around the axis during rearward driving of the machine. Free ends of the smoothing elements pivot relative to the frame in the direction. The hinge axis is provided at a distance behind the beam.