CS106 Summer 2023
Michael Eckmann
Lab 11
July 27, 2026

==================


Purpose:
To get familiar with the following topics

   editing an existing class to add methods
   writing a class and overriding operators
   
   

==================
 PROBLEM 1
==================
   
Starting with the rectangle.py module containing the class Rectangle, write 3 methods in Rectangle to handle scaling a 
Rectangle by some factor, and methods to compute area and perimeter

e.g.

import rectangle
myRect1 = rectangle.Rectangle(2,3)
myRect1.scale(4)   # should make the rectangle now be a 4*2=8  by 4*3 = 12 size
a = myRect1.area()  # a should be 8*12 = 96
p = myRect1.perimeter()   # p should be 8+12+8+12 = 40

==================
 PROBLEM 2
==================

Create 2 modules for this problem.  One named Fraction and one named
Work_With_Fractions.

Work_With_Fractions will have code that will ask the user for a numerator 
and denominator for 2 fractions.   Your code should create 2 objects of type 
Fraction with that data.  

Multiply and divide these fractions (not their floating point 
representations) and add and subtract these fractions (not their 
floating point representations).

You are required to store fractions in lowest terms.  e.g. if I try
to create a fraction with a numerator 18 and a denominator 24,
you should figure out that this is the fraction 3/4 and store
it in that fashion (with 3 as numerator and 4 as denominator).

****
Note well: use the gcd function in the math module
import math

math.gcd(__,__) 

and use that to get your numerator and denominator in lowest terms.

Fractions can also be negative, make sure to take this into account
in some way.

In Fraction, you should have methods to
   multiply, divide, add and subtract that do those operations to
   two Fraction objects.
   
use these method names to override the operators +, -, *, /

__add__
__sub__
__mul__
__truediv__   


======

Example input (preceded by a >) and output of your program:

Enter a numerator
> 60
Enter a denominator
> 105
You entered the fraction 4 / 7

Enter a numerator
> 2
Enter a denominator
> 3
You entered the fraction 2 / 3

(4 / 7) * (2 / 3) = (8 / 21)
(4 / 7) / (2 / 3) = (6 / 7)
(4 / 7) + (2 / 3) = (26 / 21)
(4 / 7) - (2 / 3) = (-2 / 21)

===========
 PROBLEM 3
===========

Edit your Fraction class and add the following comparison operators:

__gt__
__lt__
__eq__
__ge__
__le__

Test them out in a similar way you tested out the Fraction class in problem 1.


Submit to the Spring:

rectangle.py
testrectangles.py
Fraction.py
Work_With_Fractions.py