>The fraction 355/113 is incredibly close to pi, within a third of a millionth of the exact value. This level of accuracy is far beyond its rights as a fraction

>The fraction 355/113 is incredibly close to pi, within a third of a millionth of the exact value. This level of accuracy is far beyond its rights as a fraction with such a small denominator, and it causes various oddities elsewhere in math. On the other hand, from a purely practical perspective, the answer is only accurate to six digits, which is the number of digits in the fraction you must remember. So, you're not really getting much of a free lunch.