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 __sub__(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 __mul__(self,other):  #*
        if type(other) == int:
            other = Fraction(other,1)
        return Fraction(self.numerator * other.numerator, self.denominator * other.denominator)

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

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

    def __str__(self):
        self._reduce()
        if self.numerator == 0:
            return str(0)
        elif self.numerator // self.denominator == 0:
            return  str(self.numerator) + '/' + str(self.denominator)
        elif self.numerator % self.denominator == 0:
            return str(self.numerator // self.denominator)
        else:
            return str(self.numerator // self.denominator) + ' ' + str(self.numerator % self.denominator) + '/' + 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): #<
        return self.numerator * other.denominator - self.denominator * other.numerator < 0

f = Fraction(35,21)
print(f)