Heres my :2cents: take it for what its worth. I installed structual slabs and foundations for 8 years and ran across this quite often. Normally its remove compact, regravel, replace. In your case if it were my house, eddie is correct, i would NEVER tie the new slab to the old one. Its cracking due to uneven settling most likely. The new slab would follow suit if its not finished sinking yet, or be stressed in freeze that cycles at the crack points. You would actually want to create a break between the two slabs, this can easily be done by rollinh out 6 mil plastic over the old slab in prep to pour the new one. What you essentally will have now is a floating slab laying on the other one, and this calls for it to be structual. Wire mesh wont cut it here. Use grade 40 number 4 rebar (1/2 inch) 12" OC in both directions so you have a nice grid. Tie it up with wire and use rebar chairs to be assured the bar stays at the proper height during the pour. I would use minimum of 3500 psi concrete air entrained, and fiber isnt nessesary but it cant hurt. We used to only use fiber on pool decks to avoid having a bonding inspection done on the rebar. Good luck with the project!