Where my driveway meets my house there were two sections of loose concrete that were deteriorating and making a mess. I removed the loose concrete and discovered that those sections were placed on top of other concrete that I am guessing is the footer of those outside walls of the house. These missing sections go down 2 1/2 - 3 inches. How would I go about repairing these sections in a manner that would last. Do I need to tie the new concrete into the existing footer concrete that is there? What about the joints between the old and new concrete? I am a noob with any type of concrete work so any help or advice on how to fix this is appreciated.
You could simply add new concrete to it. There are a few things you need to do:
Concrete crack sealer:
I'd fill the hole up with water using a hose pipe, and let the water overflow. That will carry out any dust/crud which will prevent the concrete bonding properly. Then simply make a strong set of concrete, but make sure you don't under estimate how much you will need as having to go back to your builders merchants will just will a) be a pain b) make the concrete break up again a lot sooner.
I'd always buy too much supplies, most builders merchants will gladly refund any used sealed bags.