Write a program named FractionDemo3 that includes an array of four Fractions. Prompt the user for values for each. Display every possible combination of addition results and every possible combination of multiplication results for each Fraction pair (that is, each type will have 16 results).

A sample program execution is shown below. The program should accept input and display output in the same format as the sample program.

Enter whole number portion of fraction 1 Enter numerator 2 Enter denominator 3 Enter whole number portion of fraction 2 Enter numerator 3 Enter denominator 4 Enter whole number portion of fraction 3 Enter numerator 4 Enter denominator 5 Enter whole number portion of fraction 4 Enter numerator 5 Enter denominator 6 Addition 1 2/3 + 1 2/3 = 3 1/3 1 2/3 + 2 3/4 = 4 5/12 1 2/3 + 3 4/5 = 5 7/15 1 2/3 + 4 5/6 = 6 1/2 2 3/4 + 1 2/3 = 4 5/12 2 3/4 + 2 3/4 = 5 1/2 2 3/4 + 3 4/5 = 6 11/20 2 3/4 + 4 5/6 = 7 7/12 3 4/5 + 1 2/3 = 5 7/15 3 4/5 + 2 3/4 = 6 11/20 3 4/5 + 3 4/5 = 7 3/5 3 4/5 + 4 5/6 = 8 19/30 4 5/6 + 1 2/3 = 6 1/2 4 5/6 + 2 3/4 = 7 7/12 4 5/6 + 3 4/5 = 8 19/30 4 5/6 + 4 5/6 = 9 2/3 Multiplication 1 2/3 * 1 2/3 = 2 7/9 1 2/3 * 2 3/4 = 4 7/12 1 2/3 * 3 4/5 = 6 1/3 1 2/3 * 4 5/6 = 8 1/18 2 3/4 * 1 2/3 = 4 7/12 2 3/4 * 2 3/4 = 7 9/16 2 3/4 * 3 4/5 = 10 9/20 2 3/4 * 4 5/6 = 13 7/24 3 4/5 * 1 2/3 = 6 1/3 3 4/5 * 2 3/4 = 10 9/20 3 4/5 * 3 4/5 = 14 11/25 3 4/5 * 4 5/6 = 18 11/30 4 5/6 * 1 2/3 = 8 1/18 4 5/6 * 2 3/4 = 13 7/24 4 5/6 * 3 4/5 = 18 11/30 4 5/6 * 4 5/6 = 23 13/36

using static System.Console;

class FractionDemo3

{

static void Main()

{

Fraction f1 = new Fraction(2, 3);

Fraction f2 = new Fraction(4, 5);

Fraction f3 = new Fraction();

f3 = f1 * f2;

WriteLine("{0} * {1} = {2}",

f1.FracString(), f2.FracString(), f3.FracString());

f1.WholeNum = 1;

f3 = f1 * f2;

WriteLine("{0} * {1} = {2}",

f1.FracString(), f2.FracString(), f3.FracString());

f2.Numerator = 8;

f2.Reduce();

f3 = f1 * f2;

WriteLine("{0} * {1} = {2}",

f1.FracString(), f2.FracString(), f3.FracString());

}

}

class Fraction

{

private int wholeNum;

private int numerator;

private int denominator;

public Fraction(int w, int n, int d)

{

WholeNum = w;

Numerator = n;

Denominator = d;

}

public Fraction(int n, int d) : this(0, n, d)

{

}

public Fraction() : this(0, 0, 1)

{

}

public int WholeNum

{

get

{

return wholeNum;

}

set

{

wholeNum = value;

}

}

public int Numerator

{

get

{

return numerator;

}

set

{

numerator = value;

}

}

public int Denominator

{

get

{

return denominator;

}

set

{

if(value != 0)

denominator = value;

else

denominator = 1;

}

}

public static Fraction operator+(Fraction f1, Fraction f2)

{

int num1 = (f1.WholeNum * f1.Denominator + f1.Numerator) *

f2.Denominator;

int num2 = (f2.WholeNum * f2.Denominator + f2.Numerator) *

f1.Denominator;

int num = num1 + num2;

int denom = f1.Denominator * f2.Denominator;

Fraction newFrac = new Fraction(num, denom);

newFrac.Reduce();

return newFrac;

}

public static Fraction operator*(Fraction f1, Fraction f2)

{

int num1 = (f1.WholeNum * f1.Denominator + f1.Numerator);

int num2 = (f2.WholeNum * f2.Denominator + f2.Numerator);

int num = num1 * num2;

int denom = f1.Denominator * f2.Denominator;

Fraction newFrac = new Fraction(num, denom);

newFrac.Reduce();

return newFrac;

}

public void Reduce()

{

int gcd;

int y;

if(numerator >= denominator)

{

wholeNum += numerator / denominator;

numerator = numerator % denominator;

}

gcd = 1;

for(y = numerator; y > 0; --y)

{

if(numerator % y == 0 && denominator % y == 0)

{

gcd = y;

y = 0;

}

}

numerator /= gcd;

denominator /= gcd;

}

public string FracString()

{

string fracString;

if(WholeNum == 0 && Numerator == 0)

fracString = "0";

else

if(WholeNum == 0)

fracString = Numerator + "/" + Denominator;

else

if(Numerator == 0)

fracString = "" + WholeNum;

else

fracString = WholeNum + " " + Numerator +

"/" + Denominator;

return fracString;

}

}

Test Case Incomplete Program displays addition and multiplication of four fractions case 1 Input Output 2/3 * 4/5 = 3/15 1 2/3 * 4/5 = 1 1/3 1 2/3 * 1 3/5 = 2 2/3 Results Mia 2 1 / 1 2/3 4 5/6 = 1/2 121.327.51 12/3.7 5/12 = 9 1/12 5/6 1 2/3 = 6 1/2 4 5/6 4 5/6 = 9 2/3 5/6 3 2/3 = 3 1/2 4 5/6 7 5/12 = 12 1/4 32/3 - 12/3 = 5 1/3 4 5/6 = 3 1/2 32/3 32/ 3 7 1/3 2/3 7 5/12 - 11 /12 75/12 12/ 3 1/12 75/12.456 = 12 1/4 75/12 3 2/3 11 1/12 5/22 75/12 245/Pultiplicatim 12/ 5/6 = 3 1/18 12/ 12 21/ 2/3 3 2/3 = 6 1/9 1 277 5/12 = 12 13/36 5/6 1 2/3 = 3 1/10 5/6 4 5/6 = 23 13/35 5/6 3 2/3 = 17 13/18 5/6 7 5/12 = 35 61/72 32/3 12/3= 6 1/9 3 2/3 4 5/6 = 17 13/18 3 2/3 3 2/3 = 13 4/9 3 2/3 - 7 5/12 = 27 7/36 75/12 12/3= 12 13/36 75/12 4 5/6 = 35 61/72 75/12 32/3 = 27 7/36 75/12 7 5/12 - 55 1/144 Test Case Incomplete Program displays addition and multiplication of four fractions case 2 Input Output 2/3 * 4/5 = 3/15 1 2/3 * 4/5 = 1 1/3 1 2/3 + 1 3/5 = 2 2/3 Results Addition 9/ 33/5 = 15 3/305/ 6 5/6 = 32/3 5/6 1 20/34 = 8 /1825 / 6 5 /4 = 3 1/12 3/5 5/6 = 15 13/30 3/ 3 3/5 = 17 1/ 3/5 1 28/34 = 18 16/ 3 /5 5/4 = 17/20 1 20/34 5/6 = /182 1 20/34 33/5 = 18 16/35 1 20/34.1 28/34 33/17 1 28/34 5/4 = 2 57/ 5/ 4 65/6 = 3 1/12 5/4 3/5 = 17/22 514 1 28/34 = 2 57 / 5/4.5/4 = 2 1/2 ltiplication / 665/65 45 25/365/6 3/5 = 58 23/30 65/ 6 1 28/34 = 10 29/345/ 65/4= 3 1/24 $ 3/5 6 5/6 = 58 23/30 3/5 3/5 73 24/25 3/5 -1 28/34 = 13 56/as 3/5 5/4 10 3/4 1 28/34 3/6 = 10 29/34 28/34 8 3/5 = 13 56/35 1 20/34 1 20/34 = 2 151/209 1 28/34 5/4 = 1 67/6B 5/ 4 6 5/6 = 3 13/24 5/4 8 3/5 = 10 3/4 5/4 - 1 28/34 = 1 67/68 5/4 5/4 = 1 9/16 Test Case Incomplete Program displays addition and multiplication of four fractions case 1 Input Output 2/3 * 4/5 = 3/15 1 2/3 * 4/5 = 1 1/3 1 2/3 * 1 3/5 = 2 2/3 Results Mia 2 1 / 1 2/3 4 5/6 = 1/2 121.327.51 12/3.7 5/12 = 9 1/12 5/6 1 2/3 = 6 1/2 4 5/6 4 5/6 = 9 2/3 5/6 3 2/3 = 3 1/2 4 5/6 7 5/12 = 12 1/4 32/3 - 12/3 = 5 1/3 4 5/6 = 3 1/2 32/3 32/ 3 7 1/3 2/3 7 5/12 - 11 /12 75/12 12/ 3 1/12 75/12.456 = 12 1/4 75/12 3 2/3 11 1/12 5/22 75/12 245/Pultiplicatim 12/ 5/6 = 3 1/18 12/ 12 21/ 2/3 3 2/3 = 6 1/9 1 277 5/12 = 12 13/36 5/6 1 2/3 = 3 1/10 5/6 4 5/6 = 23 13/35 5/6 3 2/3 = 17 13/18 5/6 7 5/12 = 35 61/72 32/3 12/3= 6 1/9 3 2/3 4 5/6 = 17 13/18 3 2/3 3 2/3 = 13 4/9 3 2/3 - 7 5/12 = 27 7/36 75/12 12/3= 12 13/36 75/12 4 5/6 = 35 61/72 75/12 32/3 = 27 7/36 75/12 7 5/12 - 55 1/144 Test Case Incomplete Program displays addition and multiplication of four fractions case 2 Input Output 2/3 * 4/5 = 3/15 1 2/3 * 4/5 = 1 1/3 1 2/3 + 1 3/5 = 2 2/3 Results Addition 9/ 33/5 = 15 3/305/ 6 5/6 = 32/3 5/6 1 20/34 = 8 /1825 / 6 5 /4 = 3 1/12 3/5 5/6 = 15 13/30 3/ 3 3/5 = 17 1/ 3/5 1 28/34 = 18 16/ 3 /5 5/4 = 17/20 1 20/34 5/6 = /182 1 20/34 33/5 = 18 16/35 1 20/34.1 28/34 33/17 1 28/34 5/4 = 2 57/ 5/ 4 65/6 = 3 1/12 5/4 3/5 = 17/22 514 1 28/34 = 2 57 / 5/4.5/4 = 2 1/2 ltiplication / 665/65 45 25/365/6 3/5 = 58 23/30 65/ 6 1 28/34 = 10 29/345/ 65/4= 3 1/24 $ 3/5 6 5/6 = 58 23/30 3/5 3/5 73 24/25 3/5 -1 28/34 = 13 56/as 3/5 5/4 10 3/4 1 28/34 3/6 = 10 29/34 28/34 8 3/5 = 13 56/35 1 20/34 1 20/34 = 2 151/209 1 28/34 5/4 = 1 67/6B 5/ 4 6 5/6 = 3 13/24 5/4 8 3/5 = 10 3/4 5/4 - 1 28/34 = 1 67/68 5/4 5/4 = 1 9/16