If the grout cracked, it is probably because the subsurface is not strong enough. You should use a tile backerboard under tile.
You could probably get the tile up easy enough and save it. Cement down 1/4" Hardibacker and tile over that. Use latex modified thinset to glue down the Hardibacker and also for the tile.
Read the tile topic on my website at www.bobf.info for more information.