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There can never be a closest fraction because between any two numbers, there is always a fraction. That is to say, if you said a/b was the closest fraction I can find a fraction that is closer.
7 and 3 over 4 is 73/4 as a mixed number (fraction) and: (7x4 + 3)/4 = 31/4 as an improper fraction.
The smallest fraction of 2 and 3/4 can only be found by turning the mixed or proper fraction into an improper fraction. 2 and 3/4 as an improper fraction would be: 11/4. It appears that 2 and 3/4 or 11/4 is the smallest possible fraction.
0.75 as a fraction in its simplest form is 3/4
If you mean 3/4 then as a fraction it is in its simplest form
There is no specific name. -3 is greater than -4 and (-3)/(-4) = 3/4 is a positive proper fraction. 3 is greater than -4 and 3/(-4) = -3/4 is a negative proper fraction. 3 is greater than -2 and 3/(-2) = -3/2 is a negative improper fraction. 4 is greater than 3 and 4/3 is a positive improper fraction. Thus, the fraction can be negative or positive, proper or improper.