Chapter 6, Problem 9PP

Write and fully test a class that represents rational numbers. A rational number can be represented as the ratio of two integer values, a and b, where b is not zero. The class has attributes for the numerator and denominator of this ratio. The ratio should always be stored in its simplest form. That is, any common factor of a and b should be removed. For example, the rational number 40/12 should be stored as 10/3.

 Solution to Project 9

 The class has the following constructors and methods:

• A default constructor that sets me rational number to 0/1.
• A constructor that has parameters for the numerator and denominator and converts the resulting ratio to simplified form.
• simplify—a private method that converts the rational number to simplified form.
• getGCD(x, y)—a private static method mat returns the largest common factor of the two positive integers x and y, that is, their greatest common divisor. For example, the greatest common divisor of 40 and 12 is 4
• getValue—returns the rational number as a double value.
• toString—returns the rational rumberas a string in the form a/b.