Question

Declare a class that represents a fraction. Each fraction will be represented as two Integer values: numerator and denominator. The class will implement the following operations addition, subtraction, multiplication, division. The resulting fraction will be automatically reduced. The class is expected to be used as follows: Fraction1 new Fraction 2.5): Fraction 12-new Fraction 3, 8): 11ad2: System.out.print(1); // prints 31/40 And as follows: Fraction 3-new Fraction 2.3% Fraction = new Fraction 1. 11): Fractions Fractionaddr3, 14) System.out.printl/prints 25/33

using java 8

Answer 1

Program code in java:

//class definition
public class Fraction {
    //variable declaration
    int numerator, denominator;
  
    //constructor definition
    public Fraction(int numerator, int denominator) {
        this.numerator = numerator;
        this.denominator = denominator;
    }
    //method to add two fraction number
    void add(Fraction f){
        //calculating the common factor
        int den=hcf(this.denominator,f.denominator);
        //calculating the new denominator
        den = (this.denominator*f.denominator) / den;
        this.numerator = (this.numerator)*(den/this.denominator) + (f.numerator)*(den/f.denominator);
        this.denominator=den;
    }
    //method to add two fraction number
    void subtract(Fraction f){
        //calculating the common factor
        int den=hcf(this.denominator,f.denominator);
        //calculating the new denominator
        den = (this.denominator*f.denominator) / den;
        this.numerator = (this.numerator)*(den/this.denominator) - (f.numerator)*(den/f.denominator);
        this.denominator=den;
    }
    //method to add two fraction number
    void multiply(Fraction f){
        //calculating new numerator and denominator by multiplying
        this.numerator = this.numerator * f.numerator;
        this.denominator=this.denominator * f.denominator;
    }
    //method to add two fraction number
    void divide(Fraction f){
        //calculating new numerator by multiplying with denominator and vice versa
        this.numerator = this.numerator * f.denominator;
        this.denominator=this.denominator * f.numerator;
    }
    //method to calculate the common factor
    int hcf(int den1,int den2){
        //recursive function to find the common factor
        if (den1 == 0)
            return den2;
        return hcf(den2%den1, den1);
    }
  
    //function to simplify the fraction
    void simplify(){
        // Finding hcf of both terms
        int cf = hcf(this.numerator,this.denominator);
        // simplifying numerator and denominator
        this.numerator = this.numerator/cf;
        this.denominator = this.denominator/cf;
    }
    //function to format the output
    @Override
    public String toString() {
        simplify();
        return numerator + "/" + denominator ;
    }
  
    //main method definition
    public static void main(String[] args) {
        //creating object of the fraction
        Fraction f1=new Fraction(2, 5);
        Fraction f2=new Fraction(3, 8);
        Fraction f3=new Fraction(4, 7);
        Fraction f4=new Fraction(18, 21);
        //calling function to add two fraction number
        f1.add(f2);
        //printing the result
        System.err.println(f1);
        //calling function to subtract two fraction number
        f2.subtract(f3);
        //printing the result
        System.err.println(f2);
        //calling function to multiply two fraction number
        f2.multiply(f3);
        //printing the result
        System.err.println(f2);
        //calling function to divide two fraction number
        f3.divide(f4);
        //printing the result
        System.err.println(f3);
    }
}

Output:

Output - January (run) X run: 31/40 -11/56 11/-98 2/3 BUILD SUCCESSFUL (total time: 0 seconds)