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 __neg__(self): # un-
        return (-self.numerator, self.denominator)
    def __add__(self,other): # +
        if type(other) == int:
            other = Fraction(other,1)
        return Fraction((self.numerator * other.denominator) + (other.numerator * self.denominator), self.denominator * other.denominator)
    def __sub__(self,other): # -
        return Fraction((self.numerator * other.denominator) - (other.numerator * self.denominator), self.denominator * other.denominator)
    def __mul__(self, other): # *
        return Fraction(self.numerator * other.numerator, self.denominator * other.denominator)
    def __truediv__(self, other): # /
        return Fraction((self.numerator * other.denominator), (self.denominator * other.numerator))
    def __radd__(self,other):
        return self + other
    def __float__(self):
        return self.numerator / self.denominator
    def __str__(self):
        d = self._reduce()
        if self.numerator == 0:
            return str(0)
        elif self.numerator % self.denominator == 0:
            return str(self.numerator // self.denominator)
        elif self.numerator > self.denominator:
            return str(self.numerator // self.denominator) + " " + str(self.numerator % self.denominator) + "/" + str(self.denominator)
        else:
            return str(self.numerator) + "/" + str(self.denominator)
    def __eq__(self, other): # ==
        other._reduce()
        self._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