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When you add, subtract, or multiply integers, you get integers. When you divide one integer by another one, you may or may not get an integer.
You divide the integer by the decimal.
An integer is a whole number.
If you divide a positive number (it doesn't really matter if it is an integer or a fraction) by a negative number, the result is negative.
No, 2/3 is not an integer since 3 doesn't divide 2. Remember that in order for the value to be an integer, the denominator term has to divide the numerator term.