It is an algebraic fraction, consisting of (one polynomial) divided by (the other one).
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A rational number is able to be represented as a ratio of polynomials. pi/e is a ratio of irrational numbers, neither of which can be represented as a ratio of polynomials, and so I would conclude that pi/e is not rational. But it's a good question, because what if two irrational numbers could cancel out their irrationality, like two negative numbers! A quotient of two irrational numbers can be a rational number. Trivial example 2pi/pi = 2.
prime
what is the prosses to multiply polynomials
It is called the property of "closure".
An expression which contains polynomials in both the numerator and denominator.