Please write a class called Arithmetic to perform arithmetic calculations with fractions. Use integer variables to represent the private data of the class numerator and denominator. Write a constructor function to initialize when it is declared. Provide public member functions for addition, multiplication, subtraction, and division. Please, print rational numbers in double point format. Also calculate the area of a rectangle. However, you need to dynamically allocate memory for the object rectangle by creating a pointer to it. The program should check for the user input values.