PI

Though PI has a reputation of being an irrational number (a number that can’t be expressed as a ratio of two integers), I did a small check to see which vulgar fraction within denominator <1000 comes closest to PI


Fraction Value % error
pi() 3.141592654
22/7 3.142857143 0.040249943
355/113 3.14159292 0.000008491
1043/332 3.141566265 -0.000839973
1753/558 3.141577061 -0.00049633
2152/685 3.141605839 0.000419718