How To Repair Crack Slab Ladder

hello: my garage floor is concrete slab and the slab has a "lip" that extends out about 2 feet beyond the garage door where it meets the blacktop driveway.The lip section has long cracks and portions of the cracks have loosen - - if i remove the pieces, they leave a v shape cut-out at the cracks.Is there a repair/patching process for the cracks, like a giant version of.