public class Fraction {
  // instance variables
  private int numerator;
  private int denominator;

  // Constructor(s)
  public Fraction(int num, int denom) {
    numerator = num;
    denominator = denom;
    normalize();
  } // Fraction()

  public Fraction(int num) {
    numerator = num;
    denominator = 1;
  } // Fraction()

  // Instance Methods
  public Fraction multiply(Fraction f) {
    int n = numerator * f.numerator;
    int d = denominator * f.denominator;
    return new Fraction(n, d);
  } // multiply()

  private void normalize() {
    int g = gcd(numerator, denominator);
    numerator = numerator / g;
    denominator = denominator / g;
  } // normalize()

  private int gcd(int a, int b) {
    while (a != b) {
      if (a > b)
        a = a - b;
      else
        b = b - a;
    }
    return a;
  } // gcd()

  // Print Methods
  public String toString() {
    return numerator + "/" + denominator;
  } // toString()

  // Test suite
  public static void main(String[] args) {
      Fraction f1 = new Fraction(22, 7);
      Fraction f2 = new Fraction(56, 24);
      Fraction f3 = new Fraction(6, 8);
      Fraction f4 = new Fraction(5);

      System.out.println("f2 = 56/24: " + f2);
      System.out.println("f3 = 6/8: " + f3);
      f1 = f2.multiply(f3);
      System.out.println("f1 = f2*f3: " + f1);

  } // main()
} // Fraction