Question

In C# programming.

Create a fractions class that represents fractions in the form a/b Your class should implement the following members:

int Numerator

int Denominator

Fraction(int numerator, int denominator) ­ creates a new Fraction

double ToDecimal() ­ returns the fraction as a double

Fraction Add(Fraction f) ­ adds the fraction to the one passed in and simplifies the result

Fraction Multiply(Fraction f) ­ multiplies the fraction by the one passed in and simplifies the result

Fraction Simplify() ­ simplifies the fraction using the GreatestCommonDivisor method from the first Exercise

Create a test program that demonstrates the following:

1/2 = 0.5

1/7 + 1/5 = 12/35

1/4 * 2/3 * 4/5 = 2/15

Answer 1

/*C sharp program that demonstrats  the Fraction class and display the results of the
add and multiply operations of the Fraction to  console window.*/

//Program.cs
using System;
using System.Collections.Generic;
using System.Linq;
using System.Text;
namespace FractionApp
{
class Program
{
static void Main(string[] args)
{
//create a Farction class
Fraction f1 = new Fraction(1, 2);
//print in decimal as 0.5
Console.WriteLine("{0}", f1.ToDecimal());

Fraction f2 = new Fraction(1, 7);
Fraction f3 = new Fraction(1, 5);
  
//call Add to add two fractions
Fraction add = f2.Add(f3);
add = add.simplify();//call simplify method
//print the numerator and denominator
Console.WriteLine("{0} / {1}", add.Numerator ,add.Denominator );

//Create three fraction objects
Fraction f4 = new Fraction(1, 4);
Fraction f5 = new Fraction(2, 3);
Fraction f6 = new Fraction(4, 5);

//call multiply two times
Fraction mul = f4.Multiply(f5);
mul = mul.Multiply(f6);
//call simplify on multiply
mul = mul.simplify();
Console.WriteLine("{0} / {1}", mul.Numerator, mul.Denominator);

Console.ReadLine();
}
}
}
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//Fraction.cs
using System;
using System.Collections.Generic;
using System.Linq;
using System.Text;
namespace FractionApp
{
//class Fraction
class Fraction
{
/*default constructor*/
public Fraction()
{
//set 0 and 1 to numerator and denominator
Numerator = 0;
Denominator = 1;
}
/*constructor to set the numerator and denominator*/
public Fraction(int numerator, int denominator)
{
Numerator = numerator;
Denominator = denominator;
}
//Setter and getter methods
public int Numerator { get; set; }
public int Denominator { get; set; }
//Returns the decimal value of fraction
public double ToDecimal()
{
return ((double )Numerator / Denominator);
}
//Method to add two Fractions
public Fraction Add(Fraction f)
{
Fraction temp=new Fraction ();
temp.Numerator = Numerator * f.Denominator + Denominator * f.Numerator;
temp.Denominator = Denominator * f.Denominator;
return temp;
}
//Method to multiplication of two Fractions
public Fraction Multiply(Fraction f)
{
Fraction temp = new Fraction();
temp.Numerator = Numerator * f.Numerator ;
temp.Denominator = Denominator * f.Denominator;
return temp;
}
/*Simplify the fraction*/
public Fraction simplify()
{
int gcd = GreatestCommonDivisor();
Numerator = Numerator / gcd;
Denominator = Denominator / gcd;
return new Fraction(Numerator, Denominator);
}

/*Returns the greatest common devisor*/
int GreatestCommonDivisor()
{
int gcd = 1;
for (int i = 1; i <= Numerator && i <= Denominator ; i++)
{
if (Numerator % i == 0 && Denominator % i == 0)
gcd = i;
}
return gcd;
}
}
}

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Sample Output: