Nope, apparently 22/7 is only an approximation for pi, As is 355/133 :-o
Okay, 22/7 (or any other fraction containing only integers) is still an approximation but it's closer than 3.14
Being an irrational number it's beyond even our most powerful computers powers to resolve it satisfactorily. IIRC the best effort, so far, is about 1 trillion (10^12) decimal places. For the pedants amongst us it's also a transendental number :-k