Implement a Fraction class in Fraction.cpp with header Fraction.h including the following functions:

Question 2.1: Constructor:

Initialize a new Fraction. The format of the constructor is Fraction(int numerator, int denominator).

Please remember to judge the legality. If its illegal (i.e. the denominator is 0), print Initialization Error

and assign a default value 0,1

Sample Run	Result
//main1.cpp #include #include "Fraction.h" int main() { Fraction a(5, 0); std::cout << a << std::endl; return 0; }	Initialization Error 0

Question 2.2: Overload operator (<<): 1. Print the double / floating point value of (numerator / denominator)

Sample Run	Result
//main2.cpp #include #include "Fraction.h" int main() { Fraction a(5, 0); std::cout << a << std::endl; Fraction b(1, 4); std::cout << b << std::endl; return 0; }	Initialization Error 0 0.25

Question 2.3: Overload operators (+, -) 1. Add an integer to or subtract an integer from a Fraction object.

Sample Run	Result
//main3.cpp #include #include "Fraction.h" int main() { Fraction a(5, 1); std::cout << a << std::endl; a = a + 10; std::cout << a << std::endl; a = a - 3; std::cout << a << std::endl; return 0; }	5 15 12

Question 2.4: Overload operators (<, > and ==)

Compare two Fraction objects.

We can assume that that the operators will apply on legal Fraction objects and the result of Fraction

objects are legal.

Sample Run	Result
//main4.cpp #include #include "Fraction.h" int main() { Fraction a(10, 2); Fraction b(2, 1); if (a > b) { std::cout << "a is larger than b" << std::endl; } else if (a < b) { std::cout << "b is larger than a" << std::endl; } else { std::cout << "a is the same as b" << std::endl; } b = b + 100;	a is larger than b b is larger than a a is the same as b

if (a > b) { std::cout << "a is larger than b" << std::endl; } else if (a < b) { std::cout << "b is larger than a" << std::endl; } else { std::cout << "a is the same as b" << std::endl; } a = a + 97; if (a > b) { std::cout << "a is larger than b" << std::endl; } else if (a < b) { std::cout << "b is larger than a" << std::endl; } else { std::cout << "a is the same as b" << std::endl; } return 0; }

Question 2.5: Overload Increment and Decrement operators (++ and --):

Sample Run	Result
//main5.cpp #include #include "Fraction.h" int main() { Fraction a(1, 3); std::cout << a << std::endl; std::cout << a++ << std::endl; std::cout << ++a << std::endl; std::cout << a << std::endl; std::cout << a-- << std::endl; std::cout << --a << std::endl; return 0; }	0.333333 0.333333 2.33333 2.33333 2.33333 0.333333