Provided is a fixed abrasive article for polishing a workpiece having a hardness comprising (a) a substrate having a first surface and a second surface, (b) a region of abrasive composites distributed on the first surface of the substrate, and (c) a region of conditioning amalgams distributed on the first surface of the substrate. The abrasive composites include a composite binder and abrasive particles of a first hardness, which first hardness is higher than the hardness of the workpiece. The amalgams include an erodible binder and conditioning particles sufficient to condition the composite binder and having a second hardness, which second hardness is less than the hardness of the workpiece and greater than the hardness of the composite binder. Also provided are other abrasive articles, and methods of making them.