Define a class for** rational numbers**. 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 ½, 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 rationalNum

Include a constructor with two arguments that can be used to set the member variables of an object to any legitimate value. Also include 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. Also include a default constructor that initializes an object to 0 (that is, to 0/1).

Overload 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, -300/-400 are all possible input. The input operator, >>, reads the string 15/32 as

Overload all of the following operators so that they correctly apply to the type rationalNum: ==, <, >, +, -, *, and /.

Write a test program to test your class.

[*Hints*: Two rational numbers **a/b** and **c/d** are equal if a*d equals c*b. If b and d are positive numbers, a/b is less than c/d provided a*d is less than c*b.

- (a/b + c/d) is given by:

Numerator =a*d + c*b

Denominator = b*d

- (a/b – c/d) is given by

Numerator = a*d – c*b

Denominator = b*d

- (a/b * c/d) is given by

Numerator = a*c

Denominator = b*d

- (a/b divided by c/d) is given by

Numerator = a*d

Denominator = b*c

]

The numerators and denominators of rational numbers tend to become large, so it is better to normalize intermediate results. This is achieved by calling a method, normalize(), on the number as shown:

cout << “The sum of the two numbers is: “ << result.normalize() << endl;

Here’s the function that you call to normalize the number. Make it a member function of the rationalNum class. It is called in the driver program to:

- Display each input number read
- Display the results of the arithmetic operations.

rationalNumber rationalNumber::normalize()

{

rationalNum temp;

int x,y,z;

x=numerator;

y=denominator;

z=(x*x < y*y)? (z=x):(z=y);

for (int i=2; i*i<=z*z; i++){

while ((x%i)==0 && (y%i)==0 )

{

x=x/i;

y=y/i;

z=z/i;

}

}

if (y<0){

temp.numerator=-x;

temp.denominator=-y;

}

else {

temp.numerator=x;

temp.denominator=y;

}

return temp;

}

Here’s the output of test run of the driver program using rationalNum objects.

E:neu>rationalMain

Enter the first value: 2/3

Enter the second value: 3/5

value1 is 2/3

Normalized value1: 2/3

value 2 is: 3/5

Normalized value2: 3/5

addition 19/15

Normalized sum: 19/15

subtraction 1/15

Normalized difference: 1/15

multiplication 6/15

Normalized product: 2/5

division 10/9

Normalized quotient: 10/9

is 2/3 < 3/5 ? no

is 2/3 > 3/5 ? yes

is 2/3 = 3/5 ? no

Press any key to continue . . .

Why Work with Us

Top Quality and Well-Researched Papers

We always make sure that writers follow all your instructions precisely. You can choose your academic level: high school, college/university or professional, and we will assign a writer who has a respective degree.

Professional and Experienced Academic Writers

We have a team of professional writers with experience in academic and business writing. Many are native speakers and able to perform any task for which you need help.

Free Unlimited Revisions

If you think we missed something, send your order for a free revision. You have 10 days to submit the order for review after you have received the final document. You can do this yourself after logging into your personal account or by contacting our support.

Prompt Delivery and 100% Money-Back-Guarantee

All papers are always delivered on time. In case we need more time to master your paper, we may contact you regarding the deadline extension. In case you cannot provide us with more time, a 100% refund is guaranteed.

Original & Confidential

We use several writing tools checks to ensure that all documents you receive are free from plagiarism. Our editors carefully review all quotations in the text. We also promise maximum confidentiality in all of our services.

24/7 Customer Support

Our support agents are available 24 hours a day 7 days a week and committed to providing you with the best customer experience. Get in touch whenever you need any assistance.

Try it now!

How it works?

Follow these simple steps to get your paper done

Place your order

Fill in the order form and provide all details of your assignment.

Proceed with the payment

Choose the payment system that suits you most.

Receive the final file

Once your paper is ready, we will email it to you.

Our Services

No need to work on your paper at night. Sleep tight, we will cover your back. We offer all kinds of writing services.

Essays

No matter what kind of academic paper you need and how urgent you need it, you are welcome to choose your academic level and the type of your paper at an affordable price. We take care of all your paper needs and give a 24/7 customer care support system.

Admissions

Admission Essays & Business Writing Help

An admission essay is an essay or other written statement by a candidate, often a potential student enrolling in a college, university, or graduate school. You can be rest assurred that through our service we will write the best admission essay for you.

Reviews

Editing Support

Our academic writers and editors make the necessary changes to your paper so that it is polished. We also format your document by correctly quoting the sources and creating reference lists in the formats APA, Harvard, MLA, Chicago / Turabian.

Reviews

Revision Support

If you think your paper could be improved, you can request a review. In this case, your paper will be checked by the writer or assigned to an editor. You can use this option as many times as you see fit. This is free because we want you to be completely satisfied with the service offered.