Rational numbers

A rational number is a number that can be represented as the ratio of two integers. For example, 2/3 is a rational number, and you can think of 7 as a rational number with an implicit 1 in the denominator (recall that the top of a fraction is called the numerator and the bottom is called the denominator).

For this assignment, you are going to write a class definition for an implementation of rational numbers. You should use the Complex number example as a template.

1.

Create a new Java project called Rational and make it an Application.

2.

Create two instance variables, both integers, named num and den. Be sure to look at the Complex example and copy what it does.

3.

Write a constructor that takes no arguments and that sets the two instance variables to zero. Be sure to look at the Complex example and copy what it does.

4.

Write a toString method that represents your rational numbers in a reasonable way as a String. Be sure to look at the Complex example and copy what it does.

5.

Modify the existing main method to create a new object with type Rational, set its instance variables to some values, and print the object. Be sure... ok, I'll stop.

SO FAR, THIS ASSIGNMENT SHOULD REQUIRE NO ACTUAL THINKING ON YOUR PART. IF YOU FIND YOURSELF THINKING, YOU ARE DOING SOMETHING WRONG AND YOU SHOULD STOP AND GET HELP.