Answer:
1/3
Step-by-step explanation:
[tex]\frac{3}{16} (\frac{1}{3} +\frac{5}{9})+\frac{1}{6} =\\ \frac{3}{16} (\frac{8}{9}) + \frac{1}{6}=\\\\\frac{1}{6} +\frac{1}{6} =\frac{1}{3}[/tex]