Add a private method simplify() to your Fraction class that converts a fraction to its simplest form. For example, the fraction 20 / 60 should be stored in the class instance variables as 1 / 3 (i.e. numerator = 1, denominator = 3). N.B.you will need a method to determine the Greatest Common Divisor (GCD. both of these methods (simplify and gcd) must be private.
Add a private method simplify() to your Fraction class that converts a fraction to its simplest form. For example, the fraction 20 / 60 should be stored in the class instance variables as 1 / 3 (i.e. numerator = 1, denominator = 3). N.B.you will need a method to determine the Greatest Common Divisor (GCD.
both of these methods (simplify and gcd) must be private. As
these methods are private, client
instance variables (e.g.: input, add, constructor, set) should call the simplify() method to reduce the instance variables to their minimum values.
import java.util.ArrayList;
import java.util.Scanner;
class Fraction
{
private int n, d;
public Fraction()
{
this.n = this.d = 0;
}
public Fraction(int n, int d)
{
this.n = n;
this.d = d;
}
public int getNum()
{
return n;
}
public int getDen()
{
return d;
}
public boolean isZero()
{
return(getNum() == 0 && getDen() != 0);
}
public boolean isequals(Object c)
{
Fraction f = (Fraction) c;
return(Integer.compare(n,f.n))==0 && (Integer.compare(d,f.d)==0);
}
public String getSimplifiedFraction()
{
//Decalre the string variable result to store the result
String result = "";
//if the numerator and denominator both are zero
if(getNum() == 0 && getDen() == 0)
//result is zero
result = "0";
//if the numerator is zero and denominator is non-zero
else if(isZero())
//result is zero
result = "0";
//if the numerator is non-zero and denominator is zero
else if(getNum() != 0 && getDen() == 0)
//result is Undefined
result = "Undefined";
//for a defined and non-zero fraction
else
{
//if the remainder is zero
if(getNum() % getDen() == 0)
result = (getNum() / getDen()) + "";
//if the numerator and denominator both are greater than zero
else if(getNum() < 0 && getDen() < 0)
result = (getNum() * -1) + "/" + (getDen() * -1);
//if any of them is zero
else if(getNum() < 0 || getDen() < 0)
{
//if the numerator is greater than zero
if(getNum() < 0)
result = "-" + (getNum() * -1) + "/" + getDen(); // appending a sign.
//if the denominator is zero
else
result = "-" + getNum() + "/" + (getDen() * -1); // appending a sign.
}
//both are non-zero
else
result = (getNum() + "/" + getDen());
}
//return the result
return result;
}
//Define the method display() that displays the resultant fraction
public void display()
{
//Call and display the fraction
System.out.println(getSimplifiedFraction());
}
public Fraction add(Fraction rhs) {
Fraction sum = new Fraction();
sum.d = d * rhs.d;
sum.n = n * rhs.d + d * rhs.n;
sum.simplify();
return sum;
}
private void simplify()
{
int a,b;
if(Math.abs(n) > Math.abs(d))
{
a = Math.abs(n);
b = Math.abs(d);
}
else
{
a = Math.abs(d);
b = Math.abs(n);
}
int r = a%b;
while(r != 0)
{
a = b;
b = r;
r = a%b;
}
//divide numerator and denominator by b
n /= b;
d /= b;
}
}
//Define the class TestFraction
class TestFraction
{
//Define the main method
public static void main(String[] args)
{
//Declare the variables to store the numerator and denominator
String res;
int num, den, num1, den1;
//Declare an ArrayList to store the results
ArrayList<Fraction> fractions = new ArrayList<>();
//Create the object for scanner class
Scanner sc = new Scanner(System.in);
//use the do-while loop to iterate test the conditions
do
{
//Prompts the user to enter the numerator
System.out.print("Enter the num: ");
//Store the Integer part only
num = Integer.parseInt(sc.nextLine().trim());
//If the numerator is less than zero
if(num < 0)
//Break from loop
break;
//Prompts the user to enter the denominator
System.out.print("Enter the den: ");
//store the integer part only
den = Integer.parseInt(sc.nextLine().trim());
//Create the object of Fraction class
Fraction fraction = new Fraction(num, den);
System.out.print("Enter the num to compare: ");
num1 = Integer.parseInt(sc.nextLine().trim());
if(num1 < 0)
break;
System.out.print("Enter the den to compare: ");
den1 = Integer.parseInt(sc.nextLine().trim());
Fraction fraction1 = new Fraction(num1, den1);
if(fraction1.isequals(fraction))
{
System.out.println("\nTrue-> Second fraction is equal to First Fraction");
}
else
System.out.println("\nFalse-> Second fraction is not equal to First Fraction"); // if isequal() returns zero.
//Add the resultant fractions into the ArrayList
fractions.add(fraction);
//Display the resultant fraction
res = fraction.getSimplifiedFraction();
System.out.println("Fraction added to list as: " + res + "\n"); //result is stored in ‘res’ variable
}while(res != "0");
//Display all fractions that are stored in the ArrayList
System.out.println("\nDISPLAYING ALL FRACTIONS:\n" + "-------------------------");
//Use the loop to display the values stored in the ArrayList
for(Fraction fr : fractions)
fr.display();
//to print the new line
System.out.println();
sc.close();
Fraction f = new Fraction(4, 8);
System.out.println("1st fraction: ");
f.display();
Fraction fc = new Fraction(8, 24);
System.out.println("2nd fraction: ");
fc.display();
Fraction res1 = f.add(fc);
System.out.println("Sum: ");
res1.display();
}
}
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