3.14 about 3 and 14/100
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22/7 I think is the closest fraction you will get. By definition it is irrational, and cannot be written as fraction of integer numbers. There are a few fractions that are close approximates though. Pi cannot be technically written as a fraction. However, a fraction that is a close approximation of pi is 22/7.
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.
No, 22 over 7 is not equal to pi, but is instead an approximation of pi, as it only gives you 3 digits of pi, the rest (after 3.14) in 22/7 are wrong. Pi is 3.141926......... And goes on forever, meaning that a fraction such as 22/7 will never be fully equivalent to pi.
square root(pi) is about 1.77245385. It is not a rational number so this is just an approximation.
Pi is the circumference of a circle divided by the diameter of a circle. 3.14 is an approximation of Pi. It is not possible to display the value of Pi. (See the related questions.)