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A rational algebraic expression is the ratio of two algebraic expressions. That is, one algebraic expression divided by another. It is important that the domain is defined in such a way the the rational expression does not involve division by 0.
No, it depends on divided WHAT!
When a rational numbers is divided by an irrational number, the answer is irrational for every non-zero rational number.
The answer depends on WHAT divided by 7!
Any integer divided by a non-zero integer is rational.