Example $7$: Gary needs to haul $14$ and $\frac{2}{3}$ tons of sand to a construction site. His truck can carry $2$ and $\frac{1}{3}$ tons. How many trips will he need to make?

This is a division problem since you need to divide the total sand amount by the amount the truck can carry at a time.

$14\frac{2}{3}2\frac{1}{3}=\frac{14(3)+2}{3}\frac{2(3)+1}{3}=\frac{44}{3}\frac{7}{3}$

$=\frac{44}{3}*\frac{3}{7}=\frac{44}{7}=\frac{6(7)+2}{7}=6+\frac{2}{7}=6\frac{2}{7}$

This case can't be rounded down and so he would need to make $7$ trips to move all the sand to the construction site.