# A Step-by-Step Guide to Writing Assignments on Rational Number Class in C++

May 08, 2023 Dr. Jane Smith
United States of America
C++
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In this blog, we will look at how to write a rational number class assignment in C++. The rational number class is a fundamental class in mathematics that is widely used in computer programming. The class enables us to perform rational number arithmetic operations such as addition, subtraction, multiplication, and division.

To create an assignment on rational number class using C++, you must first understand the following concepts:

1. Classes and Objects - Understanding the fundamentals of class and object creation in C++ is critical when working with the rational number class.
2. Constructors and Destructors - Constructors are used to initialise a class's data members, while destructors are used to release the memory that the class has been allocated.

You can create a well-structured assignment that demonstrates your understanding of the rational number class in C++ by understanding these concepts. In the following sections, we will go over these concepts in greater depth and provide step-by-step instructions on how to create a rational number class assignment in C++.

## Understanding Rational Number Class

Understanding the rational number class is essential when working on C++ fraction assignments. Any fraction that can be expressed as p/q can be represented by a rational number class. The fraction's numerator and denominator are represented as integers. The class enables us to perform arithmetic operations on fractions, making it a valuable tool in a variety of programming applications.

To use the rational number class in C++, you must first understand how to create a class object and access its data members and member functions. You can demonstrate your proficiency in C++ programming and rational number operations by creating an assignment that demonstrates your understanding of these concepts.

### Data Members of Rational Number Class

To define a rational number class in C++, we must first define the class's data members. The data members of the rational number class are:

• numerator - an integer that represents the rational number's numerator.
• denominator - an integer that represents the rational number's denominator.

### Member Functions of Rational Number Class

A class contains member functions that can be used to manipulate data members in addition to data members. The rational number class has the following member functions:

1. Constructors - A constructor is a special member function called when a class object is created. We can define two constructors in the rational number class: one with no arguments and one with two arguments to initialize the numerator and denominator.
2. Getter and Setter Functions - Getter and setter functions allow you to access and modify a class's private data members. We can define two getter functions in the rational number class to get the numerator and denominator values, and two setter functions to set the numerator and denominator values.
3. Arithmetic Operations - We can define member functions to perform arithmetic operations such as addition, subtraction, multiplication, and division on rational numbers.
4. Comparison Operators - To compare two rational numbers, we can define comparison operators such as "==" and "".

## Implementing Rational Number Class Operations

Implementation Following the creation of the rational number class, the next step is to implement the operations required for working with rational numbers. This includes addition, subtraction, multiplication, and division, as well as comparison operations like equal to, greater than, and less than. To implement these operations, overloaded operators for the class, such as the addition operator (+) or the less than operator (), can be defined.

You will need to define functions that take two rational numbers as input and return a new rational number as output to implement the arithmetic operations. To add two rational numbers, for example, you can write a function that adds the numerators and denominators of the two input numbers and returns a new rational number containing the sum. Subtraction, multiplication, and division can all be done in the same way.

You must define functions that return a boolean value indicating whether the two input numbers satisfy the condition for comparison operations. To determine whether two rational numbers are equal, for example, you can write a function that compares the numerators and denominators of the two input numbers and returns true if they are.

### Arithmetic Operations

• Addition: Given two rational numbers, return their sum as a new rational number.
• Subtraction: This function takes two rational numbers as input and returns the difference as a new rational number.
• Multiplication: This function takes two rational numbers as input and returns the product as a new rational number.
• Division: Given two rational numbers, returns the quotient as a new rational number.

### Comparison Operations

• Equal to: Given two rational numbers, returns true if they are equal.
• Greater than: Given two rational numbers, returns true if the first is greater than the second.
• Less than: Given two rational numbers, this function returns true if the first number is less than the second.

You can create a fully-functional rational number class that can perform a variety of arithmetic and comparison operations on fractions by implementing these operations with overloaded operators and functions.

## Error Handling in Rational Number Class

It is critical to handle errors and ensure that the program does not crash or produce unexpected results when working with user input. Errors can occur in the case of rational numbers if the user enters a denominator of 0 or if the inputs are not valid integers. You can add exception handling to your rational number class to handle these errors.

Exceptions are objects in C++ that are thrown when an error occurs. To handle errors specific to your rational number class, you can create your own exception class or use built-in exception classes such as std::invalid_argument or std::logic_error. When an exception is thrown, a try-catch block can be used to catch it and handle the error properly, such as by displaying an error message to the user or prompting for new input.

### Handling Denominator of 0 Error

You can add a check to the rational number class to ensure that the denominator is not 0. If the user enters a 0 for the denominator, you can handle the error by throwing a custom exception or using the built-in std::invalid_argument exception.

### Handling Invalid Input Error

You can add a check to ensure that the user input consists of valid integers to handle errors caused by invalid input. If the input is invalid, you can handle the error by throwing a custom exception or using the built-in std::invalid_argument or std::logic_error exceptions. You can also use C++ standard library functions such as std::stoi or std::istringstream to convert user input to integers and handle any errors that occur during the conversion process.

## Steps to Write an Assignment on Rational Number Class Using C++

Now that we have a basic understanding of what a rational number class is, let's look at how to write a rational number class assignment in C++.

#### Step 1: Define the Rational Number Class

In C++, the first step is to define the rational number class. To accomplish this, we must define the class's data members and member functions, as previously discussed.

#### Step 2: Define the Main Function

The main function is the program's entry point. In this function, we can create and manipulate objects of the rational number class.

#### Step 3: Implement the Arithmetic Operations

Then, using member functions of the rational number class, we must implement arithmetic operations such as addition, subtraction, multiplication, and division.

#### Step 4: Implement the Comparison Operators

After we've implemented the arithmetic operations, we can use comparison operators like "==" and "" to compare two rational numbers.

## Example Code for Rational Number Class

Here's some C++ code for the rational number class:

```#include using namespace std; class RationalNumber { private: int numerator; int denominator; public: RationalNumber() { numerator = 0; denominator = 1; } RationalNumber(int num, int den) { numerator = num; denominator = den; } int getNumerator() { return numerator; } int getDenominator() { return denominator; } void setNumerator(int num) { numerator = num; } void setDenominator(int den) { denominator = den; } RationalNumber operator+(RationalNumber num) { RationalNumber result; result.numerator = numerator * num.denominator + num.numerator * denominator; result.denominator = denominator * num.denominator; return result; } RationalNumber operator-(RationalNumber num) { RationalNumber result; result.numerator = numerator * num.denominator - num.numerator * denominator; result.denominator = denominator * num.denominator; return result; } RationalNumber operator*(RationalNumber num) { RationalNumber result; result.numerator = numerator * num.numerator; result.denominator = denominator * num.denominator; return result; } RationalNumber operator/(RationalNumber num) { RationalNumber result; result.numerator = numerator * num.denominator; result.denominator = denominator * num.numerator; return result; } bool operator==(RationalNumber num) { return (numerator * num.denominator == num.numerator * denominator); } bool operator<(RationalNumber num) { return (numerator * num.denominator < num.numerator * denominator); } }; int main() { RationalNumber num1(1, 2); RationalNumber num2(1, 4); RationalNumber sum = num1 + num2; RationalNumber difference = num1 - num2; RationalNumber product = num1 * num2; RationalNumber quotient = num1 / num2; cout << "Sum: " << sum.getNumerator() << "/" << sum.getDenominator() << endl; cout << "Difference: " << difference.getNumerator() << "/" << difference.getDenominator() << endl; cout << "Product: " << product.getNumerator() << "/" << product.getDenominator() << endl; cout << "Quotient: " << quotient.getNumerator() << "/" << quotient.getDenominator() << endl; if(num1 == num2) { cout << "Equal" << endl; } else { cout << "Not Equal" << endl; } if(num1 < num2) { cout << "Less Than" << endl; } else { cout << "Greater Than or Equal To" << endl; } return 0; } ```

## Conclusion

Writing an assignment in the rational number class in C++ can be difficult, but with the right understanding and approach, it is doable. You can create a well-written assignment on rational number class using C++ by following the steps outlined in this blog. Don't forget to thoroughly test and document your code. Best wishes!