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Define a class RationalNumber that represents rational numbers and a few simple operations on them, as indicated below. A rational number can be expressed as the fraction, where p and q are two integers, +0. The class should extend the abstract class java.lang.Number and hence, should implement all its abstract methods. This assignment requires that a number of operations be supported. They are divided into three groups. The first is a set of basic operations, second group consists of imple- mentation of the functions of the abstract class java.lang.Number and the third group is slightly more challenging and addresses binary periodic numbers. 2.1 Basic operations The following operations should be supported: A constructor Rational Number(int, int) for creating a rational number of the form , given p and q. The program should handle cases when q = 0 by throwing a suitable unchecked exception. An operation void simplify() for simplifying a rational number of the form to its simplest form , where r = alon) and s = d... The function replaces the receiving rational number with its simplified form. An operation void add (Rational Number), which adds the rational number given as parameter to the one on which this method is invoked (the receiving rational number). This operation modifies the receiving rational number with the result of the addition. Recall that the sum of rational numbers and is the rational number (P*8)+("*9) in q*s simplified form. An operation void multiply (RationalNumber), which multiplies the rational num- ber given as parameter to the one on which this method is invoked (the receiving rational number). This operation modifies the receiving rational number with the result of the multiplication in simplified form. 2.2 Implementing java.lang.Number functions double doubleValue(), returns a double which represents the rational number in decimal form upto 3 decimal places (truncate if the result has more than 3 decimal places). For example, calling the function double Value() on a rational number of the form should return the value 0.333. float floatValue(), returns a float which represents the rational number in deci- mal form upto 3 decimal places (truncate if the result has more than 3 decimal places). int intValue(), returns an int which represents the integer part of the decimal representation of the rational number. For example, calling the function intValue() on a rational number of the form should return the value 1. int longValue(), returns a long which represents the integer part of the decimal representation of the rational number