That's the way it's done at the factory.
I did this for fun on an over-sharpened broken tip (trash) blade:
Not my best work, but I had that picture uploaded and I think you'd get the idea. I just wanted to see if I could quickly reproduce the factory "60% serration" like on the Matterhorn, Rainier and (smurf it - can't remember the third one)
I used stones and files and it was pretty easy. I'd recommend using the Lansky system or something similar for sharpening it. That's more important IMO, than doing the initial cutting. Initial cutting and shaping can be pretty rough...as long as you know how to sharpen it.
The real trick is restoring serrated blades that are improperly sharpened or worn to the top of the serration marks.