To repair the broken leading edge of a concrete step, first brush away any loose concrete and dirt. Fasten a length of scrap lumber along the front, flush with the top of the step.
To attach it, use a 1/4-inch masonry bit to drill a hole through each end and into the concrete riser. Drive two 16-d nails into each hole, forming a wedge, to hold the board. Fill the broken area with patching concrete, allow it to set up slightly, and then remove the board, fill the nail holes, and trowel smooth.