Ok to apply new concrete surface on top of old painted concrete surface?

the problem is, new concrete will not adhere to old concrete and eventually it will start to crack and fall apart and then it will look worse than before. how long this will take i dont know maybe only one season. the problem is the new concrete will not expand and contract in unison with the old concrete,again, causing it to crack. the only sure fire way to do this is to replace the entire porch with a new slab of concrete.