1. A runner has a 10-mile race to complete. Each water station is located every $\frac{1}{2}$ mile. Which expression shows how many water stations are on the race course?
2. Liam has $\frac{3}{4}$ of a gallon of paint. He pours it equally into 3 smaller cans. Which expression represents the fraction of a gallon in each can?
3. The expression $\frac{1}{2} \div 4$ models a story where $\frac{1}{2}$ of a pie is shared among 4 people. In this context, the dividend (total amount) is ___.
4. A recipe uses $\frac{1}{5}$ of a cup of sugar for 4 servings. The expression $\frac{1}{5} \div 4$ finds the sugar per serving. What number is the divisor in this expression? ___
5. To model the division $5 \div \frac{1}{2}$ with a tape diagram, you first draw 5 wholes. Each whole is then partitioned into 2 equal parts. What is the total number of parts? ___
6. A tape diagram is used to model $\frac{1}{4} \div 2$. The portion representing $\frac{1}{4}$ is divided into 2 equal parts. What fraction of the whole does one of these new, smaller parts represent?
7. When modeling $6 \div \frac{1}{4}$ with a tape diagram, what is the correct step after drawing a tape showing 6 wholes?
8. A tape diagram shows 3 wholes. Each whole is partitioned into 5 equal parts to find the total number of smaller sections. This model represents the division expression $3 \div$ ___.
9. To model $\frac{1}{3} \div 4$, a tape diagram shows $\frac{1}{3}$ of a whole. This shaded part is then split into 4 equal sections. The value of one of these new sections is ___.