Creating Fraction Instance



In [1]:

    
import fractions
for n, d in [(1,2),(2,4),(3,6)]:
    f = fractions.Fraction(n,d)
    print('{}/{}={}'.format(n,d,f))









    



1/2=1/2
2/4=1/2
3/6=1/2



In [2]:

    
import fractions
for s in ['1/2', '2/4', '3/6']:
    f = fractions.Fraction(s)
    print('{}={}'.format(s, f))









    



1/2=1/2
2/4=1/2
3/6=1/2



In [4]:

    
import fractions
for s in ['0.5', '1.5', '2.0', '5e-1']:
    f = fractions.Fraction(s)
    print('{0:>4}={1}'.format(s, f))









    



 0.5=1/2
 1.5=3/2
 2.0=2
5e-1=1/2



In [5]:

    
import fractions
for v in [0.1, 0.5, 1.5, 2.0]:
    print('{}={}'.format(v, fractions.Fraction(v)))









    



0.1=3602879701896397/36028797018963968
0.5=1/2
1.5=3/2
2.0=2



In [6]:

    
import decimal
import fractions
values= [
    decimal.Decimal('0.1'),
    decimal.Decimal('0.5'),
    decimal.Decimal('1.5'),
    decimal.Decimal('2.0'),
]
for v in values:
    print('{}={}'.format(v, fractions.Fraction(v)))









    



0.1=1/10
0.5=1/2
1.5=3/2
2.0=2

Arithmetic



In [8]:

    
import fractions
f1 = fractions.Fraction(1,2)
f2 = fractions.Fraction(3,4)
print('{} + {} = {}'.format(f1, f2, f1 + f2))
print('{} - {} = {}'.format(f1, f2, f1 - f2))
print('{} * {} = {}'.format(f1, f2, f1 * f2))
print('{} / {} = {}'.format(f1, f2, f1 / f2))









    



1/2 + 3/4 = 5/4
1/2 - 3/4 = -1/4
1/2 * 3/4 = 3/8
1/2 / 3/4 = 2/3

Approximating Values



In [9]:

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









    



PI     = 3.141592653589793
No limit= 3141592653589793/1000000000000000



In [10]:

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