from functools import total_ordering
@total_ordering
class Fraction:

    def __init__(self,numerator,denominator):
        numerator / denominator
        self.numerator = numerator
        self.denominator = denominator

    def _reduce(self):
        a = self.numerator
        b = self.denominator
        while b != 0:
            a,b = b,a%b
        self.numerator //= a
        self.denominator //= a
        return self

    def __add__(self,other):
        if type(other) == int:
            other = Fraction(other,1)
        return Fraction(self.numerator * other.denominator + self. denominator * other.numerator, self.denominator * other.denominator)

    def __radd__(self,other):
        return self,other

    def __float__(self):
        return self.numerator/self.denominator

    def __str__(self):
        self._reduce()
        return str(self.numerator) + '/'+ str(self.denominator)

    def __eq__(self,other):
        self._reduce()
        other._reduce()
        return self.numerator == other.numerator and self.denominator == other.denominator

    def __lt__(self,other):
        self._reduce()
        other._reduce()
        return self.numerator * other.denominator - self.denominator * other.numerator < 0

    def __neg__(self):
        return  Fraction(-self.numerator,self.denominator)

    def __sub__(self,other):
        return Fraction(self.numerator * other.denominator - self. denominator * other.numerator, self.denominator * other.denominator)

    def __mul__(self,other):
        return Fraction(self.numerator * other.numerator, self.denominator * other.denominator)


fraction_result = Fraction(1,4)
print(fraction_result)