Enhance the class Rational by filling out the class interface provided below and implementing additional overloaded binary operators as listed. Also use the C$++$ exception$-$handling feature to ensure a valid rational number is used when a Rational object is instantiated. Check your code against the Rational class test provided, and only submit your Rational.cc file.

class Rational $\{$

friend std::ostream& operator$<<($std::ostream&$,$ const Rational&$)$;

public:

Rational$()$: numerator$(),$ denominator$(1)\{\}$

Rational$($int$,$ int$)$; $//$ Constructor now validates object

void reduce$()$;

void set$\_$number$($int$,$ int$)$;

Rational operator$+($const Rational&$)$ const; $//$ Addition

$//$ Subtraction

$//$ Multiplication

$//$ Division

$//$ Less$-$than

$//$ Greater$-$than

$//$ Equal$-$to

$//$ Not$-$equal$-$to

private:

int numerator;

int denominator;

$\}$;