I don't know too much about computers but I know that more than just the CPU affects fps. Like do you have a graphics card? How much RAM do you have? Both of these others things are crucial to fps, not just your cpu.
Ah sorry, I mentioned only my CPU cause I'm pretty confident that my graphic card and RAM should be enough. I have 16GB RAM (edit: 6GB allocated to minecraft) and a NVIDIA GeForce GTX 960.