The numerical value is the same as the quotient of the two positive equivalents but the sign is always negative.
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Then you are adding two rational numbers with different signs! No big deal!
If the two numbers have different signs, then the result will be negative. If the two numbers have the same signs, the result will be positive. This assumes all the numbers are non-zero.
The value of the quotient of two integers with different signs is the same as if the signs were the same. Because the numbers have different signs, the quotient is negative.
When multiplying or dividing . . .If the signs of both numbers are the same, the result is positive.If the signs of both numbers are different, the result is negative.
Do you mean with a denominator that is also negative? If you do, then it would be just like dividing positive numbers, the answer would be positive. If you divide two numbers and they have different signs, then the answer will be negative. However the task of dividing is the same no matter what the signs are. So... If they are the same sign ---> Positive If they are opposite signs ---> Negative