Answer
$\dfrac{9}{x} + \dfrac{x}{2}$
Work Step by Step
Let x = the unknown number
Thus, we obtain that the quotient of nine and a number is: $\dfrac{9}{x}$
Half of the number is: $\dfrac{x}{2}$
The quotient of nine and a number added to half of the number gives us: $\dfrac{9}{x} + \dfrac{x}{2}$
