Intermediate Python

RationalNumber Class

Your task is to define a RationalNumber class in Python. This class should be used to represent a rational number, a number that can be expressed as the quotient of two integers (numerator and denominator).
The RationalNumber class should have the following characteristics:
  • The class should have two private integer attributes, the numerator and the denominator of the rational number.
  • The class should define the magic methods __add__, __sub__, __mul__, and __truediv__ to add, subtract, multiply, and divide two rational numbers, respectively.
  • Addition, subtraction, multiplication, and division operations should be performed in a way that's mathematically accurate for rational numbers, with the result being another instance of RationalNumber.
  • The class should reduce the rational number to its simplest form by dividing the numerator and denominator by their greatest common divisor (GCD).
  • The class should implement the __str__ magic method that should return a string <numerator> / <denominator> in its simplest form.
Input
Output
print(RationalNumber(1, 2) + RationalNumber(1, 3)); print(RationalNumber(1, 2) - RationalNumber(1, 3)); print(RationalNumber(1, 2) * RationalNumber(1, 3)); print(RationalNumber(1, 2) / RationalNumber(1, 3));
5 / 6 1 / 6 1 / 6 3 / 2
 

Constraints

Time limit: 2 seconds

Memory limit: 512 MB

Output limit: 1 MB

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