Question

HOME WORK due 09. 18.2019 (Rational Numbers) Create a class called Rational for performing arithmetic with fractions. Write a program to test your class. Use integer variables to represent the private instance variables of the class- the numerator and the denominator. Provide a constructor that enables an object of this class to be initialized when it's declared. The constructor should store the fraction in reduced form. The fraction 2/4 is equivalent to 2 and would be stored in the object as 1 in the numerator and 2 in the denominator. Provide a no-argument constructor with default values in case no initializers are provided. Provide public methods that perform each of the following operations: a) Add two Rational numbers: The result of the addition should be stored in reduced form b) Subtract two Rational numbers: The result of the subtraction should be stored in reduced form c) Multiply two Rational numbers: The result of the multiplication should be stored in reduced form. d) Divide two Rational numbers: The result of the division should be stored in reduced form e) Return a String representation of a Rational number in the form a/b, where a is the numerator and b is the denominator f Return a String representation of a Rational number in a floating-point format. (Consider providing formatting capabilities that enable the user of the class to specify the number of digits of precision to the right of the decimal point.)

Please use Java language. Thanks in advance.

Answer 1

public class Rational {

    public Rational(int numerator, int denominator) {
        this.num = numerator;
        this.denom = denominator;
        reduce();
    }

    private void reduce() {
        int gcd = gcd(num, denom);
        this.num = num / gcd;
        this.denom = denom / gcd;
    }

    private static int gcd(int x, int y) {
        if (y == 0)
            return Math.abs(x);
        else
            return gcd(y, x % y);
    }

    public Rational add(Rational rhs) {
        return new Rational(num * rhs.denom + rhs.num * denom, denom * rhs.denom);
    }

    public Rational sub(Rational rhs) {
        return new Rational(num * rhs.denom - rhs.num * denom, denom * rhs.denom);
    }

    public Rational mul(Rational rhs) {
        return new Rational(num * rhs.num, denom * rhs.denom);
    }

    public Rational div(Rational rhs) {
        return new Rational(num * rhs.denom, rhs.num * denom);
    }

    public String toString() {
        return num + "/" + denom;
    }

    private int num;
    private int denom;
}

class RationalTest {

    public static void main(String[] args) {
        Rational fraction1 = new Rational(2, 3);
        Rational fraction2 = new Rational(4, 5);
        System.out.println("Rational1 = " + fraction1);
        System.out.println("Rational2 = " + fraction2);
        System.out.println(fraction1 + " + " + fraction2 + " = " + (fraction1.add(fraction2)));
        System.out.println(fraction1 + " - " + fraction2 + " = " + (fraction1.sub(fraction2)));
        System.out.println(fraction1 + " * " + fraction2 + " = " + (fraction1.mul(fraction2)));
        System.out.println(fraction1 + " / " + fraction2 + " = " + (fraction1.div(fraction2)));
    }
}

Rationali = 2/3 Rational2 = 4/5 2/3 + 4/5 = 22/15 2/3 - 4/5 = -2/15 2/3 * 4/5 = 8/15 2/3 / 4/5 = 5/6 Process finished with exit code o