修改Fraction类的构造方法，使其检查并确保分子和分母为整数。如果任一不是整数，就抛出异常，同时实现下列简单的算术运算：__sub__、__mul__、__truediv__，以及下列关系运算：__gt__、__ge__、__lt__、__le__和__ne__

好的，你可以参考下面的代码来修改Fraction类的构造方法并实现所需的算术和关系运算：

class Fraction:
    def __init__(self, numerator, denominator):
        if not isinstance(numerator, int) or not isinstance(denominator, int):
            raise ValueError("分子和分母必须为整数")
        if denominator == 0:
            raise ValueError("分母不能为零")
        self.numerator = numerator
        self.denominator = denominator

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

    @staticmethod
    def gcd(a, b):
        while b != 0:
            a, b = b, a % b
        return a

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

    def __sub__(self, other):
        new_numerator = self.numerator * other.denominator - other.numerator * self.denominator
        new_denominator = self.denominator * other.denominator
        result = Fraction(new_numerator, new_denominator)
        result.simplify()
        return result

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

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

    def __gt__(self, other):
        return self.numerator * other.denominator > other.numerator * self.denominator

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

    def __lt__(self, other):
        return self.numerator * other.denominator < other.numerator * self.denominator

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

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

# 测试代码
f1 = Fraction(1, 2)
f2 = Fraction(3, 4)
print(f1 - f2)
print(f1 * f2)
print(f1 / f2)
print(f1 > f2)
print(f1 >= f2)
print(f1 < f2)
print(f1 <= f2)
print(f1 != f2)

这个代码修改了构造方法，确保分子和分母为整数，如果不是整数则抛出异常。还实现了`__sub__`、`__mul__`、`__truediv__`等算术运算符重载方法，以及`__gt__`、`__ge__`、`__lt__`、`__le__`和`__ne__`等关系运算符重载方法。