Answer
$\dfrac{8}{9}$
Work Step by Step
Simplify by factoring the numerator and the denominator then cancelling common factors to have:
$\require{cancel}
\\=\dfrac{8(k+2)}{9(k+2)}
\\=\dfrac{8\cancel{(k+2)}}{9\cancel{(k+2)}}
\\=\dfrac{8}{9}$