Clean all debris from the crack using a wire brush or broom.
Undercut the edges of cracks that are more than a quarter-inch in width. This requires using a small sledge hammer and chisel to angle the crack so it is wider at the base than at the surface.
Fill the crack with either masonry crack filler or a vinyl patching compound designed for use with concrete.
Smooth with a putty knife or trowel. The patch should have a smooth, flat surface identical to the existing concrete.
Allow the patch material to dry. The exact amount of time will vary depending on the size of the crack and amount of moisture that is present.
Use a wire brush to smooth the surface to match the surrounding concrete if necessary.