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Current generation CPUs are only 20-30% faster per thread than the CPU you have. To upgrade you would have to get a new motherboard as well as memory (DDR4), not an inexpensive option.
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Just replacing CPU has most likely no effect at all. Your FPS is combination of many PC parts – CPU, GPU, Motherboard, Memory, HDD/SDD. Replacing them all would basically be building new PC, and then the eventual FPS depends mostly on how much money you want to spend.