编写一个分数类Fraction

好的，以下是一个简单的分数类 `Fraction` 的实现：

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

    def __str__(self):
        return f"{self.numerator}/{self.denominator}"

    def __add__(self, other):
        if self.denominator == other.denominator:
            return Fraction(self.numerator + other.numerator, self.denominator)
        else:
            common_denominator = self.denominator * other.denominator
            new_numerator1 = self.numerator * other.denominator
            new_numerator2 = other.numerator * self.denominator
            new_numerator = new_numerator1 + new_numerator2
            return Fraction(new_numerator, common_denominator)

    def __sub__(self, other):
        if self.denominator == other.denominator:
            return Fraction(self.numerator - other.numerator, self.denominator)
        else:
            common_denominator = self.denominator * other.denominator
            new_numerator1 = self.numerator * other.denominator
            new_numerator2 = other.numerator * self.denominator
            new_numerator = new_numerator1 - new_numerator2
            return Fraction(new_numerator, common_denominator)

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

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

这个类有一个构造函数 `__init__`，接受分子和分母作为参数，并将它们存储在实例变量 `numerator` 和 `denominator` 中。`__str__` 方法返回可读的字符串，表示这个分数。

这个类还重载了运算符 `+`、`-`、`*` 和 `/`，可以进行分数的加减乘除运算。在计算加减法时，如果分母不同，则需要先通分。在计算除法时，需要将第二个分数取倒数，然后再将两个分数相乘。