编写一个分数类Fraction

好的，下面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):
        lcm = self.denominator * other.denominator // math.gcd(self.denominator, other.denominator)
        numerator = (lcm // self.denominator) * self.numerator + (lcm // other.denominator) * other.numerator
        return Fraction(numerator, lcm)

    def __sub__(self, other):
        lcm = self.denominator * other.denominator // math.gcd(self.denominator, other.denominator)
        numerator = (lcm // self.denominator) * self.numerator - (lcm // other.denominator) * other.numerator
        return Fraction(numerator, lcm)

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

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

    def simplify(self):
        gcd = math.gcd(self.numerator, self.denominator)
        self.numerator //= gcd
        self.denominator //= gcd

    def to_float(self):
        return self.numerator / self.denominator

这个分数类支持分数的加减乘除和化简，并且可以将分数转换为浮点数。在初始化时需要提供分子和分母。可以使用 `__str__` 方法将分数转换为字符串形式输出，也可以使用 `simplify` 方法将分数化简。