Question

• In C++
• Fix any errors you had with HW5(Fraction class). Implement a function(s) to help with Fraction addition.

\**************Homework 5 code*****************************/
#include<iostream>
using namespace std;

class Fraction
{

private:
int wholeNumber, numerator, denominator;
  
public:
//get methods
int getWholeNumber()
{
return wholeNumber;
}

int getNumerator()
{
return numerator;
}
int getDenominator()
{
return denominator;
}
Fraction()// default constructor
{
int w,n,d;
cout<<"\nEnter whole number : ";
cin>>w;
cout<<"\nEnter numerator : ";
cin>>n;
cout<<"\nEnter denominator : ";
cin>>d;
while(d == 0)
{
cout<<"\nEnter denominator : ";
cin>>d;
}
wholeNumber = w;
numerator = n;
denominator = d;
}

Fraction(int numerator, int denominator, int wholeNumber = 0)// argument constructor
{
this->wholeNumber = wholeNumber;
this->numerator = numerator;
this->denominator = denominator;
reduceFraction();
}
int gcd (int x, int y) { //function to find greatest common divisor
int t;
while (y>0) {
t = x % y;
x = y;
y = t;
}
return x;
}
void reduceFraction()
{

int factor;
factor = gcd(numerator, denominator);
// numerator = numerator / factor;
// denominator= denominator / factor;
}

};

void display(Fraction &f)
{
if(f.getWholeNumber() > 0)
cout << f.getWholeNumber() << " " << f.getNumerator() << "/" << f.getDenominator() ;
else
cout << f.getNumerator() << "/" << f.getDenominator() ;
}

Fraction multiply(Fraction &fraction1,Fraction &fraction2)
{
  
int numerator = (fraction1.getDenominator()*fraction1.getWholeNumber()+ fraction1.getNumerator()) * (fraction2.getDenominator()*fraction2.getWholeNumber()+fraction2.getNumerator());
int denominator = fraction1.getDenominator() * fraction2.getDenominator();
int wholeNumber = numerator/denominator;
numerator = numerator%denominator; // remainder after division
Fraction product(numerator,denominator,wholeNumber);
return product;
  
}

int main()
{
Fraction f1 ,f2;
Fraction product(0,0);

product = multiply(f1,f2);
product.reduceFraction();
cout<<endl;
display(f1);
cout<<" * ";
display(f2);
cout<<" = ";
display(product);
}

• Create a new class called MathProblem. The MathProblem class should use composition and contain one or more Fractions objects. This class should assist you in giving someone a Fractions quiz.
• Change both classes from a single files, to a header and source code file.
• In your main function, ask the user at least 5 questions about fractions and let them know how well they did on the quiz. (Your program should work for any fraction problems, so if I were to replace your questions with different fractions, the program's addition, multiplication, and reduction should still allow you to come up with the correct answers)

When you run the program it should look similar to......

What is 1/2 + 2/3 ?
Enter the whole number part for the fraction: 1
Enter the numerator: 1
Enter a denominator: 6
Correct!

What is 2/3 + 1/4 ?
Enter the whole number part for the fraction: 0
Enter the numerator: 11
Enter a denominator: 12
Correct!

What is 1/4 + 3/4 ?
Enter the whole number part for the fraction: 1
Enter the numerator: 0
Enter a denominator: 1
Correct!

What is 3/4 * 1/3 ?
Enter the whole number part for the fraction: 0
Enter the numerator: 1
Enter a denominator: 4
Correct!

What is 1/3 * 1/5 ?
Enter the whole number part for the fraction: 0
Enter the numerator: 1
Enter a denominator: 3
Sorry, the correct answer is 1/15.

You got 80% correct

Answer 1

Updated code

#include<iostream>

using namespace std;

class Fraction

{

private:

int wholeNumber, numerator, denominator;

public:

//get methods

int getWholeNumber()

{

return wholeNumber;

}

int getNumerator()

{

return numerator;

}

int getDenominator()

{

return denominator;

}

Fraction()// default constructor

{

int w,n,d;

cout<<"\nEnter whole number : ";

cin>>w;

cout<<"\nEnter numerator : ";

cin>>n;

cout<<"\nEnter denominator : ";

cin>>d;

while(d == 0)

{

cout<<"\nEnter denominator : ";

cin>>d;

}

wholeNumber = w;

numerator = n;

denominator = d;

}

Fraction(int numerator, int denominator, int wholeNumber = 0)// argument constructor

{

this->wholeNumber = wholeNumber;

this->numerator = numerator;

this->denominator = denominator;

reduceFraction();

}

int gcd (int x, int y) { //function to find greatest common divisor

int t;

while (y>0) {

t = x % y;

x = y;

y = t;

}

return x;

}

void reduceFraction()

{

int factor;

factor = gcd(numerator, denominator);

numerator = numerator / factor;

denominator= denominator / factor;

}

};

void display(Fraction &f)

{

if(f.getWholeNumber() > 0)

cout << f.getWholeNumber() << " " << f.getNumerator() << "/" << f.getDenominator() ;

else

cout << f.getNumerator() << "/" << f.getDenominator() ;

}

Fraction multiply(Fraction &fraction1,Fraction &fraction2)

{

  

int numerator = (fraction1.getDenominator()*fraction1.getWholeNumber()+ fraction1.getNumerator()) * (fraction2.getDenominator()*fraction2.getWholeNumber()+fraction2.getNumerator());

int denominator = fraction1.getDenominator() * fraction2.getDenominator();

int wholeNumber = numerator/denominator;

numerator = numerator%denominator; // remainder after division

Fraction product(numerator,denominator,wholeNumber);

return product;

  

}

Fraction addition(Fraction &fraction1,Fraction &fraction2)

{

int numerator = (fraction1.getNumerator()*fraction2.getDenominator()+fraction2.getNumerator()*fraction1.getDenominator());

int denominator = fraction1.getDenominator() * fraction2.getDenominator();

int wholeNumber =fraction1.getWholeNumber()+fraction2.getWholeNumber();

Fraction add(numerator,denominator,wholeNumber);

return add;

}

int main()

{

Fraction f1 ,f2;

Fraction product(0,1);

Fraction add(0,1);

add=addition(f1,f2);

add.reduceFraction();

product = multiply(f1,f2);

product.reduceFraction();

cout<<endl;

display(f1);

cout<<" * ";

display(f2);

cout<<" = ";

display(product);

cout<<"\n\n";

display(f1);

cout<<" + ";

display(f2);

cout<<" = ";

display(add);

}

output

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