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A number is said to be rational if it can be expressed as a ratio of two [finite] integers [the second of which is non-zero].

Here, if pi is to be rational, both p and q must be integers. If p is an integer then q will be irrational and if q is an integer, p will be irrational. They can never both be rational and so the ratio definition cannot be satisfied.

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Q: Pi is a fraction as circumference by diameter p by q form is a rational number then how is pi a irrational number?
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