class Fraction
    attr_accessor :numerator, :denominator

    def initialize( numerator, denominator )
        @numerator = numerator
        @denominator = denominator
    end

    def to_f
        @numerator / @denominator
    end

    def to_i
        self.to_f.to_i
    end

    def to_s
        "#{@numerator}/#{@denominator}"
    end

    def +( other )
        numerator = ( @numerator * other.denominator ) + ( other.numerator * @denominator )
        denominator = @denominator * other.denominator
        Fraction.new( numerator, denominator )
    end

    def -( other )
        numerator = ( @numerator * other.denominator ) - ( other.numerator * @denominator )
        denominator = @denominator * other.denominator
        Fraction.new( numerator, denominator )
    end

    def /( other )
        numerator = @numerator * other.denominator
        denominator = @denominator * other.numerator
        Fraction.new( numerator, denominator )
    end

    def *( other )
        numerator = @numerator * other.numerator
        denominator = @denominator * other.denominator
        Fraction.new( numerator, denominator )
    end

    def <=>( other )
        self.to_f <=> other.to_f
    end
end

f1 = Fraction.new( 4, 6 )
f2 = Fraction.new( 1, 3 )

f3 = f1 * f2
puts f3

f4 = f1 + f2
puts f4

f5 = f1 - f2
puts f5

f6 = f1 / f2
puts f6

puts f1 <=> f2