Question

Create a classRationalNumber(fractions, see problem 11.15 p.639) with the following capabilities:a) Create a constructor that prevents 0 on the denominator in a fraction, reduces (or simplifies) fractionsthat are not in reduced form (lowest terms), and avoids negative denominatorsb) Overload the addition, subtraction, multiplication, and division operators for this class.c) Overload the relationaland equality == operators for this class.Test all member functions and overloaded operators.

Answer 1

See explaination

Step-by-step explanation:

#include<iostream>

using namespace std;

class a

{

int i,n,d,sn,sd,cond;

public:

void getdata()

{

cout<<"Enter the numerator"<<endl;

cin>>n;

cout<<"Enter the denominator"<<endl;

cin>>d;

}

void operator+(a a1)

{

if(a1.d!=d)

{

sn=(a1.n*d)+(n*a1.d);

sd=(a1.d)*(d);

}

else

{

sn=a1.n+n;

sd=a1.d;

}

if(sn>sd)

{

cond=sd;

}

else if(sd>sn)

{

cond=sn;

}

}

void sum()

{

for(i=2;i<=cond;i++)

{

if(sn%i==0 && sd%i==0)

{

sn=sn/i;

sd=sd/i;

}

}

cout<<"Sum is "<<sn<<"/"<<sd<<endl;

}

a operator-(a a1)

{

a a3;

if(a1.d!=d)

{

a3.sn=(a1.n*d)-(n*a1.d);

a3.sd=(a1.d)*(d);

}

else

{

a3.sn=a1.n-n;

a3.sd=a1.d;

}

return a3;

}

void sub()

{

if(sn>sd)

{

cond=sd;

}

else if(sd>sn)

{

cond=sn;

}

for(i=2;i<=cond;i++)

{

if(sn%i==0 && sd%i==0)

{

sn=sn/i;

sd=sd/i;

}

}

cout<<"Subtraction is "<<sn<<"/"<<sd<<endl;

}

a operator /(a a1)

{

a a4;

a4.sn=a1.n*d;

a4.sd=a1.d*n;

return a4;

}

void div()

{

if(sn>sd)

{

cond=sd;

}

else if(sd>sn)

{

cond=sn;

}

else if(sn==sd)

{

sn=1;

sd=1;

}

for(i=2;i<=cond;i++)

{

if(sn%i==0 && sd%i==0)

{

sn=sn/i;

sd=sd/i;

}

}

cout<<"Division is "<<sn<<"/"<<sd<<endl;

}

a operator*(a a1)

{

a a5;

a5.sn=a1.n*n;

a5.sd=a1.d*d;

return a5;

}

void mul()

{

if(sn>sd)

{

cond=sd;

}

else if(sd>sn)

{

cond=sn;

}

for(i=2;i<=cond;i++)

{

if(sn%i==0 && sd%i==0)

{

sn=sn/i;

sd=sd/i;

}

}

cout<<"Multiplication - "<<sn<<"/"<<sd<<endl;

}

};

int main()

{

a a1,a2,a3,a4,a5,a6;

a1.getdata();

a2.getdata();

a2+(a1);

a2.sum();

a3=a2-(a1);

a3.sub();

a4=a2/(a1);

a4.div();

a5=a2*(a1);

a5.mul();

return 0;

}