class Rational(val num:Int, val denum:Int) {

def +(that:Rational) =
new Rational(num*that.denum + that.num*denum, denum*that.denum)

def *(that:Rational) =
new Rational(num*that.num, denum*that.denum)

override def toString = num + "/" + denum

def minus (that:Rational) = {
new Rational(num*that.denum - that.num*denum, denum*that.denum)
}

def divide(that:Rational) = {
new Rational(num * that.denum, denum * that.num)
}

def neg = {
new Rational (num*(-1), denum*(-1))
}

def <(that:Rational) = {
if (num*that.denum<that.num*denum)
true
else false
}

def ==(that:Rational) = {
if (num*that.denum==that.num*denum) true
else false
}


def max(that:Rational) = {
if (num*that.denum<that.num*denum)
new Rational (that.num, that.denum)
else
new Rational (num, denum)
}

def min(that:Rational) = {
if (num*that.denum<that.num*denum)
new Rational (num, denum)
else
new Rational (that.num, that.denum)
}
}
object Rational {
def apply(n:Int) = new Rational(n, 1)
def apply(n:Int, dn:Int) = new Rational(n, dn)
}

object na extends App {
val r1 = Rational(5,2)
val r2 = Rational(8,4)
val r3 = Rational(6,3)

val rp = r2 minus r1

println(r1 min r2)
}