2. Implement operator overloading. Operator Overloading a) Implement one unary operator overload functions (-,+, !). b) Implement any two arithmetic operator overload functions (+,-,*,/,%). c) Implement any two relational operator overload functions (==, !=,>,<=). d) Implement the insertion operator overload function (<<). e) Implement the extraction operator overload function (>>). f) Implement the subscript operator overload function ([]). Make sure that each function is optimally overloaded for its purpose. (pick between member, non-member, friend as appropriate) Notes Add Rational Numbers Given a/b + c/d: Step 1: Find the LCM of b and d. Step 2: Create a new Rational Number: ((a* (LCM/b) + (c* (LCM/d)) / LCM. Step 3: Reduce the new Rational Number from step 2. Step 4: Return the new Rational Number. Subtract Rational Numbers Given a/b - c/d: Step 1: Find the LCM of b and d. Step 2: Create a new Rational Number: ((a* (LCM/b) (c* (LCM/d) ) / LCM. Step 3: Reduce the new Rational Number from step 2. Step 4: Return the new Rational Number. Multiply Rational Numbers Given a/b * c/d: Step 1: Create a new Rational Number: (a*c) / (b*d). Step 2: Reduce the new Rational Number from step 1. Step 3: Return the new Rational Number. Divide Rational Numbers Given a/b / c/d: Step 1: Create a new Rational Number: (a*d) / (b*c). Step 2: Reduce the new Rational Number from step 1. Step 3: Return the new Rational Number. Compare Rational Numbers: greater than Determine if a/b > c/d: Step 1: Find the LCM of b and d. Step 2: If (a* (LCM/b) > (c* (LCM/d) return true, otherwise false. Compare Rational Numbers: less than Determine if a/b < c/d: Step 1: Find the LCM of b and d. Step 2: If (a* (LCM/b) < (c* (LCM/d) return true, otherwise false. Example Driver Program int main() { cout <« endl; RatNum r1(1,2), r2(1,6), r3(2,5); // test operator overloads cout « "\nInput/Output Stream Operators: " « endl; RatNum r4; cout <« "Enter a rational number: "; cin >> r4; cout <« r4 « endl; cout « "Negation Operation: " <« endl; cout <« -r4 « endl; // test arithmetic overloads cout « "\nArithmetic Operators: " « endl; RatNum r5 = r1 + r2; cout <« r1 « " + " << r2 < " = " « r5 « endl; RatNum r6 = r1 - r2; cout <« r1 « " - " << r2 < " = " « r6 « endl; RatNum r7 = r1 * r2; cout <« r1 « " * " « r2 < " = " « r7 « endl; RatNum r8 = r1 / r2; cout <« r1 « " / " « r2 « " = " « r8 << endl; // test arithmetic operation chaining « endl; cout <« "\nArithmetic Chaining: " RatNum r9 = r5 + r6 - r7 * r8; cout <« r5 « " + " <« r6 << " - " « r7 « "*" « r8 « " = " << r9 << endl; // test relational operator overload cout « "\nRelational Operators: cout <« r5 « " == " « r6 « "? " « (r5==r6) « endl; " <« endl; cout <« r5 « " != " « r6 « "? " « (r5!=r6) « endl; cout <« r5 « " > " « r6 « "? " « (r5>r6) « endl; cout <« r5 « " < " « r6 « "? " « (r5