5 and a half pounds of chocolate chip cookies are to be packed into bags each of which holds a third of a pound. How many bags will be filled and how much will be left for the packer to munch on?
Assuming that bags need to be completely full, we get $\dfrac{\frac{11}{2}}{\frac{1}{3}} = \frac{11}{2} \cdot 3 = 16.5$, meaning that $\boxed{16}$ bags will be filled and $\boxed{\frac{1}{6}}$ pounds will be left for the packer to eat.