Write a class called Rational with a constructor Rational(int, int) that takes two integers, a numerator and a denominator, and stores those two values in reduced form in corresponding private members. The class should have a private member function void reduce() that is used to accomplish the transformation to reduced form. The class should have an overloaded insertion operator << that will be used for output of objects of the class.

The three logical operators used to write compound conditions are "and," "or," and "not." a: true b: false

Write a function balancechemical to balance chemical reactions by solving a linear set of equations. the inputs arguments are: reagents: symbols of reagents in string row array products: symbols of products in string row array elements: elements in the reaction in string row array elcmpreag: elemental composition of reactants in two dimensional numeric array elcmpprdcts: elemental composition of prducts in two dimensional numeric array hint: the first part of the problem is setting up the set of linear equations that should be solve. the second part of the problem is to find the integers from the solution. one way to do this is to mulitiply the rational basis for the nullspace by increasing larger integers until both the left-and right-side integers exist. for example, for the reaction that involves reacting with to produce and : reagents=["ch4", "o2"]; products =["co2", "h2o"]; elements =["c","h", "o"] elcmpreag=[1,4,0;

Write a program that inserts the digits of an integer into an array in originalorderfollowed by reverse order. first, promptthe user to enter a positive integer(> 0). determine the number of digits of the integer. create a dynamically allocated integer arrayof a size twice the number of digits.now insert the digits in original order which will occupy half of the array. then, insert the digits in reverse order.finally, output thedigits in thearray.use at least two functions to organize your program.