Simplify Rational Numbers in Python

In [1]:

from fractions import Fraction
from sympy import Rational, nsimplify

In [2]:

Fraction.from_float(1.1)

Out[2]:

Fraction(2476979795053773, 2251799813685248)

In [3]:

Fraction(1.1)

Out[3]:

Fraction(2476979795053773, 2251799813685248)

In [4]:

Rational(1.1)

Out[4]:

$\displaystyle \frac{2476979795053773}{2251799813685248}$

In [5]:

nsimplify(1.1)

Out[5]:

$\displaystyle \frac{11}{10}$

In [6]:

def to_frational(x):
  print(Fraction(x))
  print(nsimplify(x))
  print()

In [7]:

vals = [0.0,
        1.2879011017187576,
        2.5905203907920316e-16,
        -0.4714045207910316,
        1.4802973661668753e-16,
        0.3450920601366943]

In [8]:

for v in vals:
  to_frational(v)

0
0

725023865223831/562949953421312
32197527542969/25000000000000

2627099782632789/10141204801825835211973625643008
259052039079203/1000000000000000000000000000000

-8492068896701029/18014398509481984
-sqrt(2)/3

6004799503160661/40564819207303340847894502572032
9251858538543/62500000000000000000000000000

6216625893760533/18014398509481984
172546030068347/500000000000000