# -*- coding: utf-8 -*-
# @Time    : 2018/3/26 20:11
# @Author  : Lv Zhangrun
# @Site    : 
# @File    : Fraction.py
# @Software: PyCharm
class Fraction:
    def __init__(self, numerator, denominator):
        self.numerator = numerator
        self.denominator = denominator
        self.temp = Fraction

    def plus(self, fraction):
        self.temp = Fraction(0, 0)
        self.temp.numerator=int(self.numerator)*int(fraction.denominator)+int(self.denominator)*int(fraction.numerator)
        self.temp.denominator=int(self.denominator)*int(fraction.denominator)
        return self.temp

    def minus(self,fraction):
        self.temp = Fraction(0, 0)
        self.temp.numerator = int(self.numerator) * int(fraction.denominator) - int(self.denominator) * int(fraction.numerator)
        self.temp.denominator = int(self.denominator) * int(fraction.denominator)
        return self.temp

    def multiply(self,fraction):
        self.temp = Fraction(0, 0)
        self.temp.numerator = int(self.numerator) * int(fraction.numerator)
        self.temp.denominator = int(self.denominator) * int(fraction.denominator)
        return self.temp

    def divide(self,fraction):
        self.temp = Fraction(0, 0)
        self.temp.numerator = int(self.numerator)*int(fraction.denominator)
        self.temp.denominator = int(self.denominator)* int(fraction.numerator)
        return self.temp

    def getResult(self):
        if self.numerator==0:
            return "0"
        n = min(self.numerator, self.denominator)
        if n<0:
            n=-n
        maxCommonDivisor = 1  # 公约数
        for i in range(1, n + 1):  # 找最大公约数
            if self.numerator % i == 0 and self.denominator % i == 0:
                maxCommonDivisor = i
        a = int(self.numerator / maxCommonDivisor)  # 约分
        b = int(self.denominator / maxCommonDivisor)
        if a == b:
            return 1
        elif b == 1:
            return a
        elif a > b:
            if a%b ==0:
                return str(int(a/b))
            else:
                return str(int(a / b)) + "’" + str(int(a % b)) + "/" + str(b)
        elif a<0 and -a>b:
            if -a%b ==0:
                return str(int(a/b))
            else:
                return "-"+str(int(-a / b)) + "’" + str(int(-a % b)) + "/" + str(b)
        else:
            return str(a) + "/" + str(b)