【问题描述】 设计一个类，用自己的成员函数重载运算符，使对整型的运算符=、+、-、*、/ 适用于分数运算。要求： （1）输出结果是最简分数（可以是带分数）； （2）分母为1，只输出分子。 参考的输入输出： Input x: 1/6 Input y: 2/9 x+y=7/18 x-y=-1/18 x*y=1/27 x/y=3/4 【输入形式】 提示“Input x: ”，输入第一个分数。如：1/6 提示“Input y: ”，输入第二个分数。如：2/9 【输出形式】 提示并输出+、-、*、/的结果，如 x+y=7/18 x-y=-1/18 x*y=1/27 x/y=3/4 【样例输入】 Input x: 1/6 Input y: 2/9 【样例输出】 x+y=7/18 x-y=-1/18 x*y=1/27 x/y=3/4写出这个问题的代码

class Fraction:
    def __init__(self, numerator, denominator):
        self.numerator = numerator
        self.denominator = denominator

    def __add__(self, other):
        numerator = self.numerator * other.denominator + other.numerator * self.denominator
        denominator = self.denominator * other.denominator
        return Fraction.reduce_fraction(numerator, denominator)

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

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

    def __truediv__(self, other):
        numerator = self.numerator * other.denominator
        denominator = self.denominator * other.numerator
        return Fraction.reduce_fraction(numerator, denominator)

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

    def __str__(self):
        if self.denominator == 1:
            return str(self.numerator)
        elif self.numerator % self.denominator == 0:
            return str(self.numerator // self.denominator)
        else:
            integer = self.numerator // self.denominator
            numerator = self.numerator % self.denominator
            denominator = self.denominator
            return f"{integer} {numerator}/{denominator}"

    @staticmethod
    def gcd(a, b):
        if b == 0:
            return a
        else:
            return Fraction.gcd(b, a % b)

    @staticmethod
    def reduce_fraction(numerator, denominator):
        gcd = Fraction.gcd(numerator, denominator)
        numerator //= gcd
        denominator //= gcd
        return Fraction(numerator, denominator)


if __name__ == '__main__':
    x_input = input("Input x: ")
    x_numerator, x_denominator = map(int, x_input.split('/'))
    x = Fraction(x_numerator, x_denominator)

    y_input = input("Input y: ")
    y_numerator, y_denominator = map(int, y_input.split('/'))
    y = Fraction(y_numerator, y_denominator)

    print(f"x+y={x + y}")
    print(f"x-y={x - y}")
    print(f"x*y={x * y}")
    print(f"x/y={x / y}")

注：上述代码中，`__eq__` 方法重载了等于号运算符 `==`，用于判断两个分数是否相等。`__str__` 方法重载了字符串转换运算符 `str()`，用于将分数转换为字符串。