Problem statement: Rational fractions are of the form a / b, in which a and b ar

Question

Problem statement:
Rational fractions are of the form a / b, in which a and b are integers and b 0
If a / b and c / d are fractions all the arithmetic operations would be defined as follows:
a / b + c / d = (ad + bc) / bd
a / b - c / d = (ad - bc) / bd
a / b * c / d = ac / bd
(a / b ) / (c/d ) = ad / bc , in which c / d 0   
CODE:
Design a class Fraction – that performs that performs the arithmetic and relational operations on fractions.
  
Provide the following three constructors:
- default (no- argument) constructor
- argument constructor
- copy constructor
Provide a class destructor
  
Overload the arithmetic( +, -, *. / ) and relational operators ( >, >=, <, <=, !=, ==)
  
Overload the stream insertion and extracting operators for input and output operations
  
Provide appropriate header and implementation files – Fraction.h and Fraction.cpp
  
Write a driver program(client.cpp) that uses the class Fraction and performs operations on fractions.
For example let x, y, z are objects of class Fraction.
  
If the user input is 2/3, then cin >> x should store 2 / 3 in x.

The statement cout << x + y; should output the value of x + y in fraction form.

The statement z = x + y; should store the sum of x and y in z in fraction form.
  
Your answer need not be in the lowest terms.

  
Extra Credit : If your answer is in their reduced form

Please use visual studio compiler C++. Also provide a sample screen shot of the result

Explanation / Answer

Answer :

public class Fraction
{
int upper;
int lower;
  

public Fraction()
{
upper = 0;
lower=1;
}

public Fraction(Fraction params)
{
upper = params.upper;
lower = params.lower;
}
  
public Fraction(int upper, int lower)
{
this.upper = upper;
this.lower= lower;
}

public Fraction(int upper)
{
upper = 0;
}

public String toString()
{
String value = this.getClass().getName()
+ "[ "
+ " upper = "
+ this.upper
+ ", "
+ " lower = "
+ this.lower
+ " ]";
  
return value;
  
}
  
public int getNumerator()
{
return this.upper;
}

public int getDenominator()
{
return this.lower;
}

public Fraction add(Fraction params)
{
if(this.lower == 0 || params.lower == 0)
throw new ArithmeticException("addition is not possible");

Fraction res = new Fraction();
  
res.upper = this.upper* params.lower
+ this.lower * params.upper;
res.lower = this.lower * params.upper;
  
return res;
}
  
  
public Fraction substract(Fraction params)
{
if(this.lower == 0 || params.lower == 0)
throw new ArithmeticException("subtraction is not possible");
  
Fraction res = new Fraction();
  
res.upper = this.upper * params.lower
- this.lower * params.upper;
res.lower = this.lower * params.lower;
  
return res;
}
  
public Fraction multiply(Fraction params)
{
if(this.lower == 0 || params.lower == 0)
throw new ArithmeticException("multiplication is not possible");
  
Fraction res = new Fraction();
  
res.upper = this.upper * params.upper;
res.lower = this.lower * params.lower;
  
return res;
}
  
public Fraction divide(Fraction params)
{
if(this.lower == 0 || params.lower == 0)
throw new ArithmeticException("division is not possible");
  
Fraction res = new Fraction();
  
res.upper = this.upper * params.lower ;
res.lower = this.lower * params.upper;
  
return res;
}
  
}

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