Figure 3 A nine-digit representation of p is displayed as a sequence of improving ratio approximations.

fp2ratio 3.14159265

3.14159265:

          3 / 1         -4.5%
         22 / 7         +0.040%
        333 / 106       -0.0026%
        355 / 113       +0.0000086%
     102573 / 32650     -0.000000022%
     102928 / 32763     +0.0000000078%
     308429 / 98176     -0.0000000021%
     411357 / 130939    +0.00000000040%
    1542500 / 490993    -0.000000000094%
    1953857 / 621932    +0.000000000010%
   15219499 / 4844517   -0.00000000000033%
   62831853 / 20000000  Exactly!