The parts I am having trouble with are:

The private section of the class should also include two member functions that will

a) reduce a fraction to lowest terms

b) normalize a fraction (the only sign appearing will be a negative sign in the

numerator.)

for part a) I have put together the reduce member function by using GCD. and am trying to add them to my arithmetic methods but having issues am I going in the right direction so far

part b) all I know so far that if there is a negative sign in the denominator it has to be switched to numerator

I was thinking if else statements ie:

if denominator has -

change numerator to -

although I do not know how to go about changing signs

any help would be appreciated

thank you

```
#include <iostream>
#include <iomanip>
#include <cmath>
using namespace std;
class Rational{
private:
int numerator;
int denominator;
float deci;
//int result;
void reduce(Rational);
void normalize();
public:
Rational() : numerator(0), denominator(0)
{}
Rational(int num, int den) : numerator(num), denominator(den) //constuctor
{}
void sglfrac(); //input a single fraction
void add(Rational, Rational); //add two fractions
void sub(Rational, Rational); //subtract two fractions
void mult(Rational, Rational); //multiply two fractions
void div(Rational, Rational); //divide two fractions
void displaysgl(); //display a single fraction in n/d format
void displayfloat(Rational); //display a single fraction in floating point format
}; //ends class Rational
//private member functions
void Rational::reduce(Rational){
int tnum, tden, temp, gcd;
tnum = labs(numerator); // use non-negative copies
tden = labs(denominator); // (needs cmath)
if(tden==0 ){ // check for n/0
cout << "Illegal fraction: division by 0"; exit(1); }
else if( tnum==0 ){ // check for 0/n
numerator=0; denominator = 1; return; }
// this ‘while’ loop finds the gcd of tnum and tden
while(tnum != 0)
if(tnum < tden){ // ensure numerator larger
temp=tnum; tnum=tden; tden=temp; // swap them
tnum = tnum - tden;} // subtract them
gcd = tden; // this is greatest common divisor
numerator = numerator / gcd; // divide both num and den by gcd
denominator = denominator / gcd; // to reduce frac to lowest terms
}
//sets the numerator and denominator to 0
void Rational::sglfrac() {
cout << "\nnumerator: "; cin >> numerator;
cout << "denominator: "; cin >> denominator;
} //end function sglfrac
void Rational::add(Rational f1, Rational f2) {
// a / b + c / d = [n](a * d + b * c) [d](b * d)
numerator = (f1.numerator * f2.denominator) + (f1.denominator * f2.numerator); //adds the numerator
denominator = (f1.denominator * f2.denominator); //adds the denominator
//numerator.reduce();
//result.reduce();
// result.normalize();
// return result;
} //end function add
void Rational::sub(Rational f1, Rational f2) {
// a / b - c / d =[n]( a * d - b * c)[d](b * d)
numerator = (f1.numerator * f2.denominator) - (f1.denominator * f2.numerator); //subtracts the numerator
denominator = (f1.denominator * f2.denominator); //subtracts the denominator
} //end function sub
void Rational::mult(Rational f1, Rational f2) {
//a / b * c / d = [n]( a * c) [d](b * d)
numerator = (f1.numerator * f2.numerator); //multiplys the numerator
denominator = (f1.denominator * f2.denominator); //multiplys the denominator
} //end function mult
void Rational::div(Rational f1, Rational f2) {
//a / b / c / d =[n](a * d)[d](b * c)
numerator = (f1.numerator * f2.numerator); //divides the numerator
denominator = (f1.denominator * f2.denominator); //divides the denominator
} //end function div
void Rational::displaysgl() {
cout << numerator << "/" << denominator;
} //end function displaysgl
void Rational::displayfloat(Rational f3) {
deci = ((float)f3.numerator) / f3.denominator;
cout << fixed << setprecision( 3 )<< deci;
} //end function displayfloat
int main() {
Rational f1;
Rational f2;
Rational f3;
Rational d;
int a;
do
{
cout << endl;
cout <<"1. Input rationals" << endl;
cout <<"2. Add rationals" << endl;
cout <<"3. Subtract rationals" << endl;
cout <<"4. Multiply rationals" << endl;
cout <<"5. Divide rationals" << endl;
cout <<"6. Quit" << endl << endl;
cout <<"Selection choice: ";
cin >> a;
switch(a)
{
case 1:
cout<<endl<<"Enter info for first Rational";
f1.sglfrac();
cout<<endl<<"Enter info for second Rational";
f2.sglfrac();
break;
case 2:
f3.add(f1, f2);
cout << setw(8);
f1.displaysgl();
cout << " + ";
f2.displaysgl();
cout << " = ";
f3.displaysgl();
cout << " or ";
d.displayfloat(f3);
cout << endl;
break;
case 3:
f3.sub(f1, f2);
f3.add(f1, f2);
cout << setw(8);
f1.displaysgl();
cout << " + ";
f2.displaysgl();
cout << " = ";
f3.displaysgl();
cout << " or ";
d.displayfloat(f3);
cout << endl;
case 4:
f3.mult(f1, f2);
f3.add(f1, f2);
cout << setw(8);
f1.displaysgl();
cout << " + ";
f2.displaysgl();
cout << " = ";
f3.displaysgl();
cout << " or ";
d.displayfloat(f3);
cout << endl;
break;
case 5:
f3.div(f1, f2);
cout << setw(8);
f1.displaysgl();
cout << " + ";
f2.displaysgl();
cout << " = ";
f3.displaysgl();
cout << " or ";
d.displayfloat(f3);
cout << endl;
break;
case 6:
exit(1);
break;
}
} while (a!=6);
} //end main
```