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.

Question

Jessica

Computers & Technology

5 February, 01:11

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.

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Answers (1)

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Aiyana Wilkerson · Answer 1

See explaination

Explanation:

#include

using namespace std;

class a

{

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

public:

void getdata ()

{

cout<<"Enter the numerator"<
cin>>n;

cout<<"Enter the denominator"<
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 "<
}

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 "<
}

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 "<
}

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 - "<
}

};

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;

}