Sympy.Rational doesn't work correctly with fractions like 1/3

Question

I have this code:

import sympy as smp
a = smp.Rational(1/3)
print('1/3: ', a)
a = smp.Rational(1/6)
print('1/6: ', a)
a = smp.Rational(1/2)
print('1/2: ', a)
a = smp.Rational(1/4)
print('1/4: ', a)

and this result:

1/3:  6004799503160661/18014398509481984
1/6:  6004799503160661/36028797018963968
1/2:  1/2
1/4:  1/4

sympy doesn't work correctly with different fractions like 1/3, 1/5, 1/6, etс. How can i solve this problem?

There is an example

Answer 1

When you write 1/3, that immediately performs the division. So

sympy.Rational(1/3)

is the same as

sympy.Rational(6004799503160661/18014398509481984)

because in Python,

1/3 == 6004799503160661/18014398509481984

You must pass the numerator and denominator to the Rational factory:

sympy.Rational(1, 3)