retracking a mixtape

so downloaded eminem/lil wayne's collab mixtape a while back and loved it. now mostly i spin electro house, but i'm in college and we all have music ADD here. my problem is that this was a free mixtape off of datpiff, and it's tracked out improperly. I have a demo version of ableton and acid pro, but as i'm still learning to dj, haven't really tried to learn these programs yet. is there a relatively simple way to cut and paste these tracks together properly, either in one of these programs or something else?