Final answer:
The answer to the question is that when dividing two rational numbers with different signs, the result will always be negative.
Step-by-step explanation:
When dividing two rational numbers with different signs, the answer will always be a negative. This rule is the same as multiplication for signs: When two numbers with opposite signs are multiplied or divided, the result is negative. For example, dividing -4 by 2 would give -2, and dividing 6 by -3 would give -2, demonstrating that the result of the division carries a negative sign due to the differing signs of the two numbers involved.