In C++ create a class named fraction which will represent a new data type corresponding to fractions. Your class should create the following private members:

- Integers n and d corresponding to the numerator and denominator of the fraction

- A function gcd which returns the greatest common divisor of 2 integers (to help you reduce the fraction).

And the following public member functions:

- 3 constructors which will create any fraction when declared with 2 integers, will create a/1 when declared with 1 integer, and will create 0/1 when declared with no integers.

- num which returns the numerator of the fraction

- denom which returns the denominator of the fraction

- reduce which reduces the fraction to its lowest terms (using the gcd function above). This function changes the value of n and d appropriately.

- convert which returns a double representing the fraction (i.e. 3/4 becomes 0.75)

- show which displays the fraction (as a fraction) to the monitor (a fraction like a/1 should be displayed as a, and a fraction like 0/b should be displayed as 0).

Your main function should (in this order):

(a) Test all three constructors using show

(b) Test num and denom

(c) Test reduce

(d) Test convert

(e) If you do the bonus (see below), test these.

Bonus: Create 4 functions which can add, subtract, multiply, or divide fractions. The answer calculated should be in lowest terms (like 3/4 instead of 6/8).

Please comment and explain declaration if possible. Thanks .