// develop the Fraction class here, no main method

class Fraction

{

  int num;

  int den;

  // This replaces the default constructor for the Fraction class

  public Fraction()

  {

    this.num = 0;

    this.den = 1;

  }

  // This is another constructor for the Fraction class.

  // It can be distinguished from other constructors

  // by the parameter list.  The function is *overloaded*.

  public Fraction(int n, int d)

  {

    this.num = n;

    this.den = d;

  }

  // Instance method to determine the size (absolute value)

  // of the fraction as a decimal.

  public double size ()

  {

    return Math.abs((double)this.num/this.den);

  }

  // compare two Fraction objects, return reference to

  // larger Fraction object

  public Fraction larger (Fraction other)

  {

    if (this.size() >= other.size())

      return this;

    else

      return other;

  }

  // multiply the current fraction by the given fraction, p

  // store the result in the current fraction

  public void timesEquals(Fraction p)

  {

    this.num *= p.num;

    this.den *= p.den;

  }

  // add the current fraction to the given fraction, and

  // store the result in the current fraction

  public void plusEquals(Fraction p)

  {

    this.num = this.num * p.den + p.num * this.den;

    this.den = this.den * p.den;

  }

  // multiply two fractions, return reference to the

  // (new) result

  public Fraction times (Fraction other)

  {

    Fraction result = new Fraction();

    result.num = this.num * other.num;

    result.den = this.den * other.den;

    return result;

  }

  // add two fractions, return reference to the

  // (new) result

  public Fraction plus (Fraction other)

  {

    Fraction result = new Fraction();

    result.num = this.num * other.den + this.den * other.num;

    result.den = this.den * other.den;

    return result;

  }

}