Using C++:

Files required: Rational.h, Rational.cpp, RationalTest.cpp (main in here)

Implement a complete class named Rational for dealing with rational numbers. In mathematics, a rational number is any number that can be expressed as the quotient or fraction p/q of two integers, a numerator p and a non-zero denominator q. Throw an invalid_argument exception if the denominator is 0.

1. Constructors that support the following usage.

Rational() // 0

Rational(1) // 1

Rational(22, 7) // 22 / 7

Rational(rational) // where rational is a Rational

2. Mutators and accessors:

+set(numerator: integer, denominator: integer) : void

+getNumerator(): integer

+getDenominator(): integer

3. Support the following operations: Rational r1, r2, r3; double x; int n;

a. r1 = r1.add(r2);

b. r3 = r1.add(n);

c. r1.equals(r2) d. x = r1.to_double();

e. r1.print(n); // output r1 to the console with n fractional digits. n >= 0, ex: 3.123324423424242342424324332424234

4. Provide a main function and illustrate the use of the class. MUST provide the definition and implementation files for the class. Do not use any inline implementations.