well, first off, you wouldn't want to pour lemonade on the class, the kids are going be all sticky afterwards and might make the laundry a bit expensive.
however, 2/3 divided in 6 equal pieces is just
[tex]\bf \cfrac{2}{3}\div 6\implies \cfrac{2}{3}\div \cfrac{6}{1}\implies \cfrac{2}{3}\cdot \cfrac{1}{6}\implies \cfrac{1}{3}\cdot \cfrac{1}{3}\implies \cfrac{1}{9}[/tex]