# Add two fractions using Java

## Add two fractions using java :

In this article we will create a java program to calculate the sum of two fractions. For this purpose we need to ask the user to enter two fractional values where each fraction must consist a Numerator and a Denominator.

For understanding this in a better way lets suppose an example :

Suppose, First fraction consist of 1 as numerator and 3 as denominator, and Second fraction consist of 3 as numerator and 9 as denominator.

(1 / 3) + (3 / 9)

• Find LCM of 3 and 9 and the result will be 9.
• Multiply 3 in first fraction : (3 / 9) + (3 / 9)
• Add both fractions and then the result will be : (6 / 9)
• Now simplify it by finding the HCF of 6 and 9 and the result will be 3.
• So divide 6 and 9 by 3 and then the result will be : (2 / 3)

### Working :

So, for calculating the sum of both fractions we need to follow some steps which are as follows :

Step 1 : Ask the user to enter two fractional values where there are two numerators and two denominators. One numerator and one denominator for first fraction and one numerator and one denominator for second fraction.

Step 2 : Find a common denominator  by finding the Least Common Multiple(LCM) of both denominator values.

Step 3 : Now change the fractions according to the LCM obtained and then denominators of both fractions will become same.

Step 4 : Now add both fractions and store the resultant fractional values.

Step 5 : After adding both fractions we need to simplify it and for simplification purpose we need to divide both numerator and denominator by there Highest Common Factor(HCF) and after this you will get your simplified fraction.

### Code in Java :

//Java program to add two fractions
import java.util.Scanner;
{
public static void main(String[] args)
{
//scanner class declaration
Scanner sc = new Scanner(System.in);
//input from the user
System.out.print("Enter numerator for first fraction : ");
int num1 = sc.nextInt();
System.out.print("Enter denominator for first fraction : ");
int den1 = sc.nextInt();
System.out.print("Enter numerator for second fraction : ");
int num2 = sc.nextInt();
System.out.print("Enter denominator for second fraction : ");
int den2 = sc.nextInt();
int num, den, x;
System.out.print("("+num1+" / "+den1+") + ("+num2+" / "+den2+") = ");
//logic for calculating sum of two fractions
if(den1 == den2)
{
num = num1 + num2 ;
den = den1 ;
}
else{
num = (num1*den2) + (num2*den1);
den = den1 * den2;
}
if(num > den)
x = num;
else
x = den;
for(int i = 1 ; i <= x ; i++)
{
if(num%i == 0 && den%i == 0)
{
num = num/i;
den = den/i;
}
}
//logic for getting simplified fraction
int n = 1;
int p = num;
int q = den;
if( num != den)
{
while(n != 0)
{
//storing remainder
n = num % den;
if(n != 0)
{
num = den;
den = n;
}
}
}
System.out.println("("+p/den+" / "+q/den+")");
//closing scanner class(not compulsory, but good practice)
sc.close();
}
}

### Output :

Enter numerator for first fraction : 1
Enter denominator for first fraction : 3
Enter numerator for second fraction : 3
Enter denominator for second fraction : 9
(1 / 3) + (3 / 9) = (2 / 3)