fractions_limit_denominator.py

#!/usr/bin/env python


import fractions
import math

print 'PI       =', math.pi

f_pi = fractions.Fraction(str(math.pi))
print 'No limit =', f_pi

for i in [1, 6, 11, 60, 70, 90, 100]:
    limited = f_pi.limit_denominator(i)
    print '{0:8} = {1}'.format(i, limited)