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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.

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Q: Is pi divided by e rational?
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