rational-numbers-2

Description

Define a class for rational numbers. Please download the Test program and add your code for submission.

A rational number is a number that can be represented as the quotient of two integers. For example, 1/2, 3/4, 64/2, and so forth are all rational numbers. (By 1/2, etc., we mean the everyday meaning of the fraction, not the integer division this expression would produce in a C++ program.) Represent rational numbers as two values of type int, one for the numerator and one for the denominator. Call the class Rational.

Include:

1. a constructor with two arguments that can be used to set the
   member variables of an object to any legitimate values.
2. a constructor that has only a single parameter of type int; call this single
   parameter whole_number and define the constructor so that the object
   will be initialized to the rational number whole_number/1.
3. a default constructor that initializes an object to 0 (that is, to 0/1).

Overload:

1. the input and output operators >> and <<. Numbers are to be
   input and output in the form 1/2, 15/32, 300/401, and so forth. Note
   that the numerator, the denominator, or both may contain a minus
   sign, so -1/2, 15/32, and -300/-401 are also possible inputs.
2. all of the following operators so that they correctly apply to the type
   Rational: ==, <, <=, >, >=, +, -, *, and /.

(Hints: Two rational numbers a/b and c/d are equal if a*d equals
c*b. If b and d are positive rational numbers, a/b is less than c/d
provided a*d is less than c*b. You should include a function to normalize
the values stored so that, after normalization, the denominator
is positive and the numerator and denominator are as small
as possible. For example, after normalization 4/-8 would be represented
the same as -1/2.)

Requirements

1. DOWNLOAD TEST PROGRAM and add your code for this lab. Do not change any code that’s already inside the test program, but add your class member variables and function definition and implementations
2. Follow the ADT (Abstract Data Type) guideline to implement the required class.
3. Comment well in your program and any functions you use

Test Cases

1/2, -1/2, 4, 0, -/12 (should cause error)

Demo

Welcome to the Rational World of Wonders!
Please enter a rational number for this calculation:
1/2
1/2 + 1/2 = 1
1/2 - 1/2 = 0
1/2 * 1/2 = 1/4
1/2 / 1/2 = 1
1/2 == 1/2 : true
1/2 < 1/2 : false
1/2 <= 1/2 : true
1/2 > 1/2 : false
1/2 >= 1/2 : true