If you are a more advanced user, or you are interested in learning more in depth about Linux, then you might be a bit happier with Fedora. But that really is a gross simplification of their overall state, and with a small amount of effort either of these could be made just as suitable for any task as the other one.
So pick one, install it, and give it a try! Or do as I have, and install them both in a dual-boot configuration, and compare them for yourself to see which you like the best.