This Old House is one of our favorite resources for How-To's. We found one recently that solves a common problem in many homes and apartments: the broken floor tile...
It's a fairly simple job to handle, but it does require the right tools including: replacement tile, safety glasses, carbide-tipped scoring tool, painter's tape, drill with ceramic bit, trowel, thinset mortar, and grout.
Step 1: While wearing safety glasses, remove the grout around the tile with a carbide-tipped scoring tool.
Step 2: Adhere painter's tape to the edges around the tile. Loosen it using a drill with a ceramic bit.
Step 3: Chisel out the broken tile pieces. You can use a screwdriver if you don't have a chisel.
Step 4: Use a trowel to spread a layer of thinset mortar in the empty space and another thin layer on the back side of the tile. Set the tile and wait 2 hours for the mortar to cure.
Step 5: Fill the joints with grout, wait for the grout to set a little, and wipe the tiles clean with a sponge.
Step 6: Don't walk on the tile for one day, giving it time to set.
Click here for the illustrated step-by-step with detailed instructions.
Photo: William A. Boyd for This Old House