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No, it is an irrational number.
Pi is an indiscriminated boolean hypothinator, so it cannot be given a truely incomponential denominator. Therefore, as 1/2 = 2/4, Pi = 7/62626Pi That is pure gobbledygook. Since the questioner speaks of approximations, I presume (s)he knows pi is irrational. There is no closest fraction to an irrational number. No matter what fraction you pick, there is a closer one. Fractional approximations to pi are usually (not always) given as a decimal, so what makes sense to ask is what is the closest approximation to pi to a given number of decimals (digits after the decimal point). For example, the closest approximation to pi to 4 decimals is 3.1416.
a constant ex: Pi. it will always be 3.14159... it will never change in value.
A surd is the square root of an integer (whole number), e.g. square root of 2 is a surd. Pi is not the square root of an integer so not a surd, just an irrational number