Overriding Instance Method in Java with declared checked

Please help me on this, I'm unable to find out the reason why it is not getting compiled! It throws "must be caught or declared to be thrown a.eat()" error. Thanks.

class Animal
{
    public void eat() throws Exception
    {
        System.out.println("Baseclass eat()");
    }
}

class Dog extends Animal 
{
    public void eat() throws ArithmeticException
    {
        System.out.println("Subclass eat()");
    }
}

class eg4psp
{
    public static void main(String gg[])
    {

        try
        {
            Animal a = new Dog();
            Dog d = new Dog();
            a.eat();
            d.eat();
        }
        catch(ArithmeticException ae) 
        { 
        System.out.println(ae); 
        }
    }
}