public class Fraction {
	private static int numberOfFractions = 0;
	
	private int numerator;
	private int denominator;
	
	public Fraction(int theNum, int theDen) {
		// initializing instance data from the parameters
		numerator = theNum;
		denominator = theDen;
		numberOfFractions++;
	}
	
	// accessor methods
	public int getNumerator() { 
		return numerator;
	}
	
	public int getDenominator() {
		return denominator;
	}
	
	// mutator methods
	public void setNumerator(int theNumerator) {
		numerator = theNumerator;
	}
	
	public void setDenominator(int theDenominator) {
		denominator = theDenominator;
	}
	
	public String toString() {
		String result;
		
		result = numerator + "/" + denominator + " (" + ((double)numerator)/denominator + ")";
		return result;
	}
	
	
	public static Fraction multiplyVersion1(Fraction f1, Fraction f2) {
		Fraction newFraction;
		
		newFraction = new Fraction(f1.getNumerator() * f2.getDenominator(),
				f1.getDenominator() * f2.getDenominator());
		return newFraction;
	}
	
	
	public static Fraction multiplyVersion2(Fraction f1, Fraction f2) {
		Fraction newFraction;
		
		// Why are we able to access the private members of the class?
		newFraction = new Fraction(f1.numerator * f2.denominator,
				f1.denominator * f2.denominator);
		return newFraction;
	}
	
	public static Fraction random(int maxValue) {
		int randomNum = (int)(Math.random() * maxValue) + 1;
		int randomDen = (int)(Math.random() * maxValue) + 1;
		return new Fraction(randomNum, randomDen);
	}
	
	public static int getTotalInstances() {
		return numberOfFractions;
	}
	
	public void square() {
		numerator *= numerator;
		denominator *= denominator;
	}
}