No. They would then be mixed numbers, not integers.
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An integer is a fraction if, in its lowest terms, the denominator is 1.
0.8333 expressed as a fraction of 2 integers is 5/6.
Yes.
Look at it the other way - by reverting the operation. The reason it is not a whole number is because if it where, then the subtraction of two integers would be a fraction! If a + b = c (a is a non-integer fraction, b and c are integers), then c - b = a. You would have a fraction as a result of subtracting two integers. However, adding or subtracting two integers always gives you an integer.
Any number that can be expressed as a fraction is a rational number which includes integers because as for example 5 as a fraction is 5/1