Fractions
this adds,subtracts,multiplies,divides fractions and returns the fraction
class Fraction:
'''represents fractions'''
def __init__(self,num,denom):
self.num=num
self.denom=denom
'''Fraction(num,denom) -> Fraction
creates the fraction object representing num/denom'''
if denom == 0: # raise an error if the denominator is zero
raise ZeroDivisionError
def __str__(self):
lst=[]
if self.num == 0:
return "0"
if self.num<0:
neg=-self.num
for i in range(1,neg+1):
if self.num/i==self.num//i and self.denom/i==self.denom//i:
lst.append(-1*i)
minimum=min(lst)
smplfiednum=self.num//minimum
smplfieddenom=self.denom//minimum
return str(smplfiednum)+'/'+str(smplfieddenom)
elif self.num>0:
for n in range(1,self.num+1):
if self.num/n==self.num//n and self.denom/n==self.denom//n:
lst.append(n)
maximum=max(lst)
smplfiednum=self.num//maximum
smplfieddenom=self.denom//maximum
return str(smplfiednum)+'/'+str(smplfieddenom)
def __float__(self):
return self.num/self.denom
def add(self, other):
newdenom = self.denom*other.denom
newnum = (self.num*other.denom)+(other.num*self.denom)
#self.denom=newdenom
#self.num=newnum
return Fraction(newnum, newdenom)
def sub(self, other):
newdenom = self.denom*other.denom
newnum = (self.num*other.denom)-(other.num*self.denom)
#self.denom=newdenom
#self.num=newnum
return Fraction(newnum,newdenom)
def mul(self, other):
newdenom = self.denom*other.denom
newnum = self.num*other.num
#self.denom=newdenom
#self.num=newnum
return Fraction(newnum,newdenom)
def div(self, other):
newdenom = self.denom*other.num
newnum = self.num*other.denom
#self.denom=newdenom
#self.num=newnum
return Fraction(newnum,newdenom)
def eq(self,other):
if self.denom/other.denom==self.num/other.num:
return True
else:
return False
# examples
#getting p
p = Fraction(3,6)
print(p) # should print 1/2
q = Fraction(10,-60)
print(q) # should print -1/6
r = Fraction(-24,-48)
print(r) # should also print 1/2
x=float(p)
print(x) # should print 0.5
### if implementing "normal" arithmetic methods
print(p.add(q)) # should print 1/3, since 1/2 + (-1/6) = 1/3
print(p.sub(q)) # should print 2/3, since 1/2 - (-1/6) = 2/3
print(p.sub(p)) # should print 0/1, since p-p is 0
print(p.mul(q)) # should print -1/12
print(p.div(q)) # should print -3/1
print(p.eq(r)) # should print True
print(p.eq(q)) # should print False
