# -*- coding: utf-8 -*-
from functools import total_ordering
# ДЗ НА СТРОКАХ 24, 29, 32, 37 !!!

@total_ordering
class Fraction:
    def __init__(self, numerator, denominator): #numerator denominator
        numerator/denominator
        self.a = numerator
        self.b = denominator

    def reduce(self): #сокращение
        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 __neg__(self): #унарный -
        return Fraction(-self.numerator, -self.denominator)

    def __mul__(self, other): #*
        self._reduce()
        other._reduce()
        return self.numerator * other.numerator + '/' + (self.denominatior * other.denominatior)

    def __int__(self): #приведение к int
        if type(self) == int or self==0:
            self=self.numerator
            return Fractoin(self)
        if self.numerator >= self.denominator:
            self.numerator=self.numerator%self.denominator
            return Fraction(self.numerator//self.denominator, self.numerator + '/' + self.denominatior)

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

    def __radd__(self,other): #смена мест
        return self+other

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

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

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