Answer
$\dfrac{x}{2}$
Work Step by Step
RECALL:
$\dfrac{\frac{a}{b}}{\frac{c}{d}}=\dfrac{a}{b} \cdot \dfrac{d}{c}$
Use the rule above to have:
$\\=\dfrac{x}{x+2} \cdot \dfrac{x+2}{2}$
Cancel the common factors to have:
$\require{cancel}
\\=\dfrac{x}{\cancel{x+2}} \cdot \dfrac{\cancel{x+2}}{2}
\\=\dfrac{x}{2}$
