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Seven ninths minus four ninths is 1/3.
Four and four-ninths
When you add three of something to four of something, you get seven of something. It doesn't matter what the somethings are. Think of ninths as somethings. If you add three ninths and four ninths, you have to wind up with seven ninths. You can't wind up with seven eighteenths, because you weren't adding eighteenths to begin with.
Five-ninths must be added to four-ninths to make a whole.
Anything minus itself is zero.