# Storing Fractions As Rational Python

As a project, I am creating a Rational Class from scratch that can take two fractions as input and store the simplified fraction. However, when I attempt to input two fractions, it appears to use integer division implicitly, so I can't store/manipulate the fraction at all. Am I approaching the problem incorrectly? Where is the mistake?

Example: Rational(3/2,9/2) returns (1,4) rather than (1/3).

def gcd(numerator,denominator): if numerator < 0: absNum = -numerator elif denominator < 0: absDen = -denominator else: absNum = numerator absDen = denominator while absNum != absDen: if absNum > absDen: absNum = absNum - absDen elif absDen >= absNum: absDen = absDen - absNum return(absNum) class Rational: def __init__(self,numerator=0,denominator=1): self.numerator = numerator self.denominator = denominator if denominator == 0: raise ZeroDivisionError("Error: cannot store number with 0 in denominator.") elif denominator < 0: if numerator < 0: self.denominator = -denominator self.numerator = -numerator else: self.numerator = numerator self.denominator = -denominator if numerator != 0: com = gcd(numerator,denominator) numerator = numerator/com denominator = denominator/com self.numerator = numerator self.denominator = denominator Rational(5/3,8/3)

Returns (1,2) instead of, (5,8) as it should. EDIT: The second half: I want to be able to input Rational(Rational(5/3),Rational(8/3)) with (5,8) the result. This seems slightly different from the above.

## Answers

from __future__ import division

will fix the division problem.

Side note - if you want your rationals to be stored precisely, you should make sure the numerator and denominator are both being stored as ints. If I'm reading it correctly, your gcd function won't work with floats.

To solve this problem you might want to do something like:

def __init__(self, num, den): num1, den1 = float(num).as_integer_ratio() den2, num2 = float(den).as_integer_ratio() self.numerator = num1 * num2 self.denominator = den1 * den2 ...