def gcd(a, b):
if b == 0:
return a
return gcd(b, a % b)
class Ratinal(object):
def __init__(self, p, q):
self.p=p
self.q=q
def __add__(self, r):
return Ratinal(self.p*r.q + self.q * r.p,self.q * self.q)
def __sub__(self, r):
return Ratinal(self.p * r.q - self.q * r.p, self.q * self.q)
def __mul__(self,r):
return Ratinal(self.p * r.p, self.q * r.q)
def __div__(self,r):
return Ratinal(self.p * r.q, self.q * r.p)
def __str__(self):
g=gcd(self.p, self.q)
return '%s/%s' % (self.p/g, self.q/g)
__repr__ = __str__
r1 = Rational(1, 2)
r2 = Rational(1, 4)
print r1 + r2
print r1 - r2
print r1 * r2
print r1 / r2