class rational:
	def __init__(self,num,den):
		if num<0 and den< 0:
			self.num,self.den= -num,-den
		else:
			self.num,self.den= num,den
	def cut (self):
		n,m=self.num,self.den
		f,d=n,m
		while m!= 0:
			n,m=m,n%m
		return rational(f/n,d/n)
	def __str__(self):
		return "{}/{}".format(self.num,self.den)
	def __add__(self,other_obj):
		if isinstance(other_obj,rational):
			return rational(self.num*other_obj.den+
							other_obj.num*self.den,
							self.den*other_obj.den).cut()
		elif isinstance(other_obj,int):
			return 	rational(self.num+other_obj*self.den,
							self.den).cut()
	def __radd__(self,other_obj):
		return self+other_obj
	def __neg__(self):
		return rational(-self.num,self.den)
	def __sub__(self,other_obj):
		return self+(-other_obj)
	def __rsub__(self,other_obj):
		return self-other_obj
	def __mul__(self,other_obj):
		if isinstance(other_obj,rational):
			return rational(self.num*other_obj.num,
							self.den*other_obj.den).cut()
		elif isinstance(other_obj,int):
			return 	rational(other_obj*self.num,
							 self.den).cut()
	def __rmul__ (self,other_obj):
		return self*other_obj
	def __div__(self,other_obj):
		if isinstance(other_obj,rational):
			return rational(self.num*other_obj.den,
							self.den*other_obj.num).cut()
		elif isinstance(other_obj,int):
			return 	rational(self.num, other_obj*self.den).cut()
	def __rdiv__(self,other_obj):
		return self/other_obj
	def __pow__(self,degree):
		if degree == 0:
			return 1
		else:
			return rational(self.num**degree,self.den**degree).cut()
class simple(rational):
	def __init__(self,num):
		rational.__init__(self,num,1)
	def __str__(self):
		return "{}".format(self.num)
	def gcd(self,other_obj):
		if isinstance(other_obj,int):
			n,m=self.num,other_obj
			while m  !=0:
				n,m=m,n%m
			return n
		elif isinstance(other_obj,simple):
			n,m=self.num,other_obj.num
			while m  !=0:
				n,m=m,n%m
			return n
		else:
			print("Error")
	def __add__(self,o):
			return (rational.__add__(self,o)).num
	def __radd__(self,o):
			return (rational.__radd__(self,o)).num
	def __neg__(self,o):
			return (rational.__neg__(self,o)).num
	def __sub__(self,o):
			return (rational.__sub__(self,o)).num
	def __rsub__(self,o):
			return (rational.__rsub__(self,o)).num
	def __mul__(self,o):
			return (rational.__mul__(self,o)).num
	def __rmul__(self,o):
			return (rational.__rmul__(self,o)).num
	def __div__(self,o):
			return (rational.__div__(self,o)).num
	def __rdiv__(self,o):
			return (rational.__rdiv__(self,o)).num
	def __pow__(self,o):
		if o == 0:
			return 1
		elif o < 0:
			return rational.__pow__(self,o)
		else:
			return self.num**o