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Write the implementation for this file (Rational.h) that deals with rational numbers;

class Rational { public: Rational(); // constructs 0/1 Rational(int num_, int denom_); // exits prog. if denom_ equals 0

int getNum() const; // getters int getDenom() const; void setNum(int num_); // setters void setDenom(int denom,_); // exits prog. if denom_ equals 0 Rational norm() const; // returns normalized number(eg: 8/-9 normalized is -8/9) Rational reduce() const; // reduces number to lowest terms int cmp(Rational &r) const; // returns (-1 if r1 < r2), (0 if r1 = r2), (1 if r1 > r2)

Rational add(Rational& op2) const; // adds 2 numbers Rational sub(Rational& op2) const; // subtracts op2 from op1 friend std::ostream& operator <<(std::ostream& os, Rat rat); private: int num,denom; // numerator, denominator int gcd(int a, int b) const; // greatest common divisor int lcm(int x, int y) const; // least common multiple };

Use this driver.

#include using namespace std; #include "Rational.h"

int main() { Rational r1(3,4), r2(9,-16), r3(1,-4); cout << r1 << endl; cout << r2 << endl; cout << r3 << endl; cout << r2.norm() << endl; cout << r1.cmp(r2) << endl; }

This is the exact output:

3/4

9/-16

1/-4

-9/16

1