Refresh Rate is not the same as Frame Rate but they are somewhat related.
Lets just say that your TV refreshes 20 times per second (no TV does this) and you had brawl which runs at 60 fps. The 60 would in effect become hard capped to 20 fps because if you can only see the screen update 20 times every second, then that means your losing 40 frames every second. This is why most games (PC games mainly) framerate is capped at your monitors current Refresh Rate.
A more realistic example is the comparison between PAL/NTSC TV. PAL TV runs at 50hz with TV shows being filmed at 25 frames per second. NTSC TV runs at 60hz with TV shows being filmed at 24 fps. I'm sure you havent noticed but every American TV show/movie you have ever seen in Australia is actually running roughly 4% faster than what it was filmed at. This is because our PAL fps is 25 while the movie/show was filmed at 24fps, since we must display 25 frames every second on our TV but we have 24 frames to work with, we must then show the 24 frames that was supposed to be played as well as 1 extra frame that was meant to be displayed in the next second. Since the length of each frame is in reality 1/24 seconds then if we were to display 25 frames in one second then those 25 frames would take 25/24 seconds. To fix this, each indivudal frame is sped up by 25/24 ~ 4%