Write a C$++$ program that performs the rational number operations addition, subtraction, multiplication and division on two fractions. The program should be written in a single file. You will need to design a "rational number" class named Rational whose value will be a fraction $($e$.$g$.,1/128,$ or $22/7),$ with appropriate constructors and member functions. A fraction will be specified as a numerator and a denominator $-$ e$.$g$.$ the pair $(8,109)$ represents the fraction $8/109.$ The member variables should be private and accessed using the accessor and mutator functions.

Constructors

Create $3$ constructors:

a constructor with two parameters $($numerator and denominator$)$

a constructor with one parameter $($denominator set to $1)$

a constructor with no parameters $(0/1)$

Accessor Functions

add

subtract

multiply

divide

display

Mutator Function

simplify

The following are a list of the rules of arithmetic for fractions:

$($a$/$b$)+($c$/$d$)=($ad $+$ bc$)/($b$*$d$)$

$($a$/$b$)-($c$/$d$)=($ad $-$ bc$)/($b$*$d$)$

$($a$/$b$)*($c$/$d$)=($ac$)/($bd$)$

$($a$/$b$)/($c$/$d$)=($ad$)/($cb$)$