In JAVA,

Write a class definition for a class of Rational numbers. Your class should have data fields for numerator and denominator. Also, include methods for all associated mathematical functions, and the Rational number should always be reduced to its lowest form. Consider the following:

How can you avoid a divide by zero issue? (denominator = 0)

What does the default constructor look like when you define an object as: Rational x = new Rational();

How will you handle: Rational x = new Rational(4, 8); ?

Write a test program to do the following:

X = +

X = -

X = *

X = /