# CMPT 200 Coding Homework

Write a class called Fraction that can store a rational number (reminder: those
numbers that can be expressed in the form a/b, where a and b are integers are rational
numbers). For example, a variable with a value of Â½ would be created using
oneHalf = Fraction(1,2)
Your class should be able to:
â¢ Get the numerator
- oneHalf.num()
â¢ Get the denominator
- oneHalf.denom()
â¢ Print the value of the fraction.
- print(oneHalf) would print: 1/2
â¢ Be able to: add, subtract, multiply, divide fractions (return a Fraction object with the
answer). This should be done by overloading the appropriate operators rather than
writing regular methods for these.
â¢ Be able to compare fractions to see if they are ==, !=, <=, >=, <, >
You should write a comprehensive test program to check the functioning of your class. For
full marks, your Fraction class should ensure that your fractions are represented using a
canonical (unique) form. In particular, your fractions should be in reduced form. Other
questions to consider are 1) how is 0 represented and 2) how is a negative number
represented. Handling these questions about fraction representation can be considered part
of robust programming.
Be sure to follow the specification given above as we will be testing your class using our own
test program. You only need to submit your class definition.
Greatest common divisor: To represent a fraction in reduced form, you need to calculate
the greatest common divisor of the numerator and denominator. This can be done using the
Euclidean algorithm. Assume that we want gcd(a,b), where a>=b>0. Then, using integer
arithmetic, we can calculate the gcd using the following algorithm:
m = a
n = b
r = m % n
while (r != 0):
m = n
n = r
r = m % n
return n
The value (n) returned by this method is gcd(a,b). For full marks, you need to write your own
version of the gcd() function. (gcd() is available as a function in the math module, but we want
you to write your own.)

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