C++ ONLY I NEED THE CODE PLEASE Create a program to handle Rational numbers usin

Question

C++ ONLY I NEED THE CODE PLEASE

Create a program to handle Rational numbers using functions. A Rational number has 2 parts, an int numerator and an int denominator. Output data should print as: numerator/denominator. Input data can be read in from a file as two integer values separated by a space. Code 5 functions to combine two Rational numbers in addition, subtraction, multiplication, division and negation. Code 6 functions to test if two Rational numbers are equal, not equal, less than, less than or equal, greater than, and greater than or equal. Code a main method to read in the two sets of data and test test all methods – follow the output format given below. Reducing values to lowest terms is extra credit. Run 3 times with the following data: 2/3 and ½ ½ and 16/32 3/-5 and 2/1. Sample Format for Output on the Screen: Rational Number 1 _________ reduced ________ Rational Number 2 _________ reduced ________ R1 + R2 = ________ reduced ________ R1 - R2 = ________ reduced _____ R1 * R2 = ________ reduced ________ R1 / R2 = ________ reduced ________ (-) R1 = _________ reduced ________ R1 == R2 _________ (true or false) R1 != R2 _________ (true or false) R1 < R2 _________ (true or false) R1 <= R2 _________ (true or false) R1 > R2 _________ (true or false) R1 >= R2 _________ (true or false) Logic for Rational Operations: a/b + c/d = (a*d + b*c) / (b*d) a/b – c/d = (a*d –b*c) / (b*d) (a/b) * (c/d) = (a*c) / (b*d) (a/b) / (c/d) = (a*d) / (c*b) (a/b) = (-a/b) (a/b) = = (c/d) means (a*d) = = (c*b) (a/b) != (c/d) means (a*d) != (c*b) (a/b) < (c/d) means (a*d) < (c*b) (a/b) < = (c/d) means (a*d) < = (c*b) (a/b) > (c/d) means (a*d) > (c*b) (a/b) >= (c/d) means (a*d) >= (c*b) Turn in the project assignment, the algorithm, the source code, the output and the Academic Honesty Promise, in that order, in a folder with clamps. Put the proper identification on the front of the folder.

Explanation / Answer

#include<iostream>

using namespace std;

int gcd(int,int);

void reduce(int,int);

void add(int,int,int,int);

void sub(int,int,int,int);

void mul(int,int,int,int);

void div(int,int,int,int);

void neg(int,int);

void eq(int,int,int,int);

void notequal(int,int,int,int);

void greaterthan(int,int,int,int);

void greaterthan_orequal(int,int,int,int);

void lessthan(int,int,int,int);

void lessthan_orequal(int,int,int,int);

int gcd(int x,int y)

{

int A = x;

int B = y;

int Temp;

while(B)

{

Temp = B;

B = A%B;

A = Temp;

}

return A;

}

void reduce(int n,int d)

{

int GCDNumber = gcd(n,d);

if(GCDNumber != 0)

{

n = n/GCDNumber;

d = d/GCDNumber;

}

cout<<" Reduced"<<n<<"/"<<d<<" ";

}

void add(int a,int b,int c,int d)

{ int x,y;

x=(a*d + b*c);

y=(b*d);

cout<<"R1+R2="<<x<<"/"<<y<<" ";

reduce(x,y);

}

void sub(int a,int b,int c,int d)

{ int x,y;

x=(a*d - b*c);

y=(b*d);

cout<<"R1-R2="<<x<<"/"<<y<<" ";

reduce(x,y);

}

void mul(int a,int b,int c,int d)

{ int x,y;

x=(a*c);

y=(b*d);

cout<<"R1*R2="<<x<<"/"<<y<<" ";

reduce(x,y);

}

void div(int a,int b,int c,int d)

{ int x,y;

x=a*d;

y=(b*c);

cout<<"R1/R2="<<x<<"/"<<y<<" ";

reduce(x,y);

}

void neg(int a,int b)

{

int x,y;

x=a;

y=b;

x*=-1;

cout<<"(-)R1="<<x<<"/"<<y<<" ";

reduce(x,y);

}

void eq(int a,int b, int c,int d)

{

if((a*d)==(c*b))

cout<<"R1==R2 is TRUE ";

else

cout<<"R1==R2 is FALSE ";

}

void notequal(int a,int b, int c,int d)

{ if((a*d)!=(c*b))

cout<<"R1!=R2 is TRUE ";

else

cout<<"R1!=R2 is FALSE ";

}

void greaterthan(int a,int b, int c,int d)

{

if((a*d)>(c*b))

cout<<"R1>R2 is TRUE ";

else

cout<<"R1>R2 is FALSE ";

}

void greaterthan_orequal(int a,int b, int c,int d)

{ if( (a*d)>=(c*b))

cout<<"R1>=R2 is TRUE ";

else

cout<<"R1>=R2 is FALSE ";

}

void lessthan(int a,int b, int c,int d)

{

if ((a*d)<(c*b))

cout<<"R1<R2 is TRUE ";

else

cout<<"R1<R2 is FALSE ";

}

void lessthan_orequal(int a,int b, int c,int d)

{

if((a*d)<=(c*b) )

cout<<"R1<=R2 is TRUE ";

else

cout<<"R1<=R2 is FALSE ";

}

int main()

{

int num1,den1,num2,den2;

cout<<"Enter the first rational number in the form of two integer values ";

cin>>num1>>den1;

cout<<"Enter the second rational number in the form of two integer values ";

cin>>num2>>den2;

cout<<"Rational Number 1: "<<num1<<"/"<<den1;

reduce(num1,den1);

cout<<"Rational Number 2: "<<num2<<"/"<<den2;

reduce(num2,den2);

add(num1,den1,num2,den2);

sub(num1,den1,num2,den2);

mul(num1,den1,num2,den2);

div(num1,den1,num2,den2);

neg(num1,den1);

eq(num1,den1,num2,den2);

notequal(num1,den1,num2,den2);

greaterthan(num1,den1,num2,den2);

greaterthan_orequal(num1,den1,num2,den2);

lessthan(num1,den1,num2,den2);

lessthan_orequal(num1,den1,num2,den2);

return 0;

}

// I followed the given logics for rational operations!!!!!

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