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Their quotient is positive if the integers have the same sign;negative if the integers have different signs;zero if the dividend is zero (and the divisor is not).
A quotient of two numbers cannot have a denominator which is zero: such a fraction is not defined.
If both integers are positive or both negative then the quotient is positive. If they are one of each then the quotient is negative.
It is a rational fraction.
Yes, but only if the second integer is not zero.