3.2.Utility methods You have to implement the following utility methods:

Rational plus (Rational b): returns a rational number that is the addition of this number and b.

Rational times (Rational b): returns a rational number that is the multiplication of this number and b.

Rational divides (Rational b): returns a rational number that is the division of this number and b.

String toString(): returns the string representation of a rational number as num / den. If den is equal to 1, to String should return num.

equals (Rational b): returns true if this rational number is equal to b. Two rational numbers are equal if their numerators are equal and their denominators are equal. Note that both numbers have to be in their reduced form.

Int gcd (int num1, int num 2): it is a helper method that returns the gcd of two numbers. You may use Euclids algorithm. You should not change the signature of the methods (i.e. name, return type, access modifier and parameters).