Question

IN JAVA

Rational Numbers

Create a Rational number class in the same style as the Complex number class created in class. That is, implement the following methods:

• constructor
• add
• sub
• mul
• div
• toString

You must also provide a Main class and main method to fully test your Rational number class.

Answer 1

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Program code to copy:

RationalNumber.java

/**
* RationalNumber.java
* Java class to represent one rational number with a numerator and denominator.
*/
public class RationalNumber {
  
   /* Class instance variables or data fields */
   private int numerator, denominator;
  
   /**
   * Constructor: Sets up the rational number by ensuring a nonzero denominator
   * and making only the numerator signed.
   * @param numer
   * @param denom
   */
   public RationalNumber(int numer, int denom) {
       if (denom == 0)
           denom = 1;

       // Make the numerator "store" the sign
       if (denom < 0) {
           numer = numer * -1;
           denom = denom * -1;
       }

       numerator = numer;
       denominator = denom;

       reduce();
   }
  
   /**
   * Accessor method for field numerator
   * @return numerator of this rational number.
   */
   public int getNumerator() {
       return numerator;
   }
  
   /**
   * Accessor method for field denominator
   * @return denominator of this rational number.
   */
   public int getDenominator() {
       return denominator;
   }
  
   /* Method to find reciprocal of this rational number. */
   public RationalNumber reciprocal() {
       return new RationalNumber(denominator, numerator);
   }
  
   /**
   * Method to add this rational number to the one passed as a parameter.
   * A common denominator is found by multiplying the individual denominators.
   * @param op2
   * @return addition of two rational numbers.
   */
   public RationalNumber add(RationalNumber op2) {
       int commonDenominator = denominator * op2.getDenominator();
       int numerator1 = numerator * op2.getDenominator();
       int numerator2 = op2.getNumerator() * denominator;
       int sum = numerator1 + numerator2;

       return new RationalNumber(sum, commonDenominator);
   }
  
   /**
   * Method to Subtract the rational number passed as a parameter
   * from this rational number.
   * @param op2
   * @return difference of two rational numbers.
   */
   public RationalNumber subtract(RationalNumber op2) {
       int commonDenominator = denominator * op2.getDenominator();
       int numerator1 = numerator * op2.getDenominator();
       int numerator2 = op2.getNumerator() * denominator;
       int difference = numerator1 - numerator2;

       return new RationalNumber(difference, commonDenominator);
   }
  
   /**
   * Method to Multiply this rational number by the one passed as a parameter.
   * @param op2
   * @return product of two rational numbers
   */
   public RationalNumber multiply(RationalNumber op2) {
       int numer = numerator * op2.getNumerator();
       int denom = denominator * op2.getDenominator();

       return new RationalNumber(numer, denom);
   }
  
   /**
   * Divides this rational number by the one passed as a parameter
   * by multiplying by the reciprocal of the second rational.
   * @param op2
   * @return division of two rational numbers.
   */
   public RationalNumber divide(RationalNumber op2) {
       return multiply(op2.reciprocal());
   }
  
   /**
   * Determines if this rational number is equal to the one passed
   * as a parameter. Assumes they are both reduced.
   * @param op2
   * @return true / false indicating equality of two rational numbers
   */
   public boolean equals(RationalNumber op2) {
       return (numerator == op2.getNumerator() && denominator == op2.getDenominator());
   }
  
   /**
   * @return rational number in string format
   */
   public String toString() {
       String result;

       if (numerator == 0)
           result = "0";
       else if (denominator == 1)
           result = numerator + "";
       else
           result = numerator + "/" + denominator;

       return result;
   }
  
   /**
   * Method to minimize the rational number
   * Reduces this rational number by dividing both the numerator
   * and the denominator by their greatest common divisor.
   */
   private void reduce() {
       if (numerator != 0) {
           int common = gcd(Math.abs(numerator), denominator);

           numerator = numerator / common;
           denominator = denominator / common;
       }
   }
  
   /**
   * Method to find the greatest common divisor of the two
   * positive parameters. Uses Euclid's algorithm.
   * @param num1
   * @param num2
   * @return greatest common divisor of the two positive parameters.
   */
   private int gcd(int num1, int num2) {
       while (num1 != num2)
           if (num1 > num2)
               num1 = num1 - num2;
           else
               num2 = num2 - num1;

       return num1;
   }
  
} /* End of class RationalNUmber */

TestRationalNumber.java

/* Java class to test RationalNumber class */
public class TestRationalNumber {

   /* Main or Driver method to test RationalNumber class methods */
   public static void main(String[] args) {
      
       /* Creating instances of RationalNumber class */
       RationalNumber rn1 = new RationalNumber(10, 4);
       RationalNumber rn2 = new RationalNumber(11, 6);
      
       /* Displaying rational numbers in string format */
       System.out.println("Rational Number1: " + rn1);
       System.out.println("Rational Number2: " + rn2);
      
       /* Displaying manipulations with rational numbers */
       System.out.println();
       System.out.println("Sum: "+ rn1.add(rn2));
       System.out.println("Difference: "+ rn1.subtract(rn2));
       System.out.println("Product: "+ rn1.multiply(rn2));
       System.out.println("Division: "+rn1.divide(rn2));
      
   } /* End of main method */

} /* End of TestRationalNumber class */

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Program code screenshot:

RationalNumber.java

TestRationalNumber.java

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Sample Output:

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Hope it will helpfull and do commets for any additional info if needed. Thankyou

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