Since jet engines can also produce more thrust, they are better suited to large airplanes, which are the ones used for long distances (e.g. if you wanted a propeller plane the size of an Airbus A380, you would need a lot more than 4 engines). read more
At lower speeds and altitudes turboprop aircraft have the advantage. At higher speeds and altitudes jet aircraft do. Comparing a 50 -70 seat airliner, over shorter distances turboprops will be more efficient as they have a relatively high cruising speed and burn far less fuel. read more
The turbofan is much more fuel efficient than a pure jet because the large bypass fan works kind of like a propeller does. However, the turbofan is still less efficient than a turboprop, simply because of the larger blade radius. read more