class Rational:
    def __init__(self, x, y):
        self.x = x
        self.y = y
    def get_numerator(self):
        return self.x
    def get_denominator(self):
        return self.y
    def to_float(self):
        return self.x/self.y
    def reciprocal(self):
        a=self.x
        b=self.y
        rec=Rational(b,a)
        return rec
    def reduce(self):
        list=[]
        for i in range(1, self.x+1):
            if self.x % i ==0 and self.y % i==0 :
                list.append(i)
            j = int(self.x / list[-1])
            k = int(self.y / list[-1])
            red = Rational(j, k)
        return red

    def __add__(self, other):
        if isinstance(other, Rational):
            denom= self.y * other.y
            numer=self.x * other.y + self.y * other.x
            add3 = Rational(numer,denom)
            return add3
        if isinstance(other, float):
            return self.x/self.y+ other
        if isinstance(other, int):
            numer=other*self.y+self.x
            denom=self.y
            add3 = Rational(numer, denom)
            return add3
        else:
            return None
    def __mul__(self, other):
        if isinstance(other, Rational):
            num=self.x * other.x
            denom= self.y * other.y
            add3 = Rational(num, denom)
            return add3
        if isinstance(other, float):
            return self.x / self.y * other
        if isinstance(other, int):
            numer = other * self.x
            denom = self.y
            add3 = Rational(numer, denom)
            return add3
        else:
            return None
    def __truediv__(self, other):
        if isinstance(other, Rational):
            num=self.x * other.y
            denom= self.y * other.x
            add3 = Rational(num, denom)
            return add3
        if isinstance(other, float):
            return self.x / (self.y * other)
        if isinstance(other, int):
            numer = self.x
            denom = self.y*other
            add3 = Rational(numer, denom)
            return add3
        else:
            return None
    def __sub__(self, other):
        if isinstance(other, Rational):
            denom = self.y * other.y
            numer = self.x * other.y - self.y * other.x
            add3 = Rational(numer, denom)
            return add3
        if isinstance(other, float):
            return self.x / self.y - other
        if isinstance(other, int):
            numer =self.x-other * self.y
            denom = self.y
            add3 = Rational(numer, denom)
            return add3
        else:
            return None