To model the expression $3 \div \frac{1}{5}$ using a tape diagram, what is the correct first step?

Draw 1 whole and divide it into 5 parts.

Draw 3 wholes and divide each into 5 parts.

Draw 5 wholes and divide each into 3 parts.

Draw 1 whole, shade $\frac{1}{5}$, and divide it into 3 parts.

When modeling $\frac{1}{2} \div 5$, what does the final answer of $\frac{1}{10}$ represent?

The size of one small piece relative to the whole.

The number of wholes being used.

The number of parts the original fraction is split into.

Solve problems involving fraction division. Practice — Grade 5 math

Lesson 3: Solve problems involving fraction division. — Practice Questions

1. A baker has 5 cakes. If each serving is $\frac{1}{2}$ of a cake, how many servings are there in total? Calculate $5 \div \frac{1}{2} = $ ___.
2. To model the expression $3 \div \frac{1}{5}$ using a tape diagram, what is the correct first step?
- A. Draw 1 whole and divide it into 5 parts.
- B. Draw 3 wholes and divide each into 5 parts.
- C. Draw 5 wholes and divide each into 3 parts.
- D. Draw 1 whole, shade $\frac{1}{5}$, and divide it into 3 parts.
3. A piece of ribbon that is $\frac{1}{4}$ yard long is cut into 6 equal pieces. What is the length of each small piece in yards? Calculate $\frac{1}{4} \div 6 = $ ___.
4. When modeling $\frac{1}{2} \div 5$, what does the final answer of $\frac{1}{10}$ represent?
- A. The total number of pieces.
- B. The size of one small piece relative to the whole.
- C. The number of wholes being used.
- D. The number of parts the original fraction is split into.
5. Which expression has a value greater than 1?
- A. $1 \div \frac{1}{8}$
- B. $\frac{1}{4} \div 4$
- C. $\frac{1}{3} \div 2$
- D. $\frac{1}{5} \div 5$
6. A baker has 5 logs of dough. If each loaf of bread requires $\frac{1}{2}$ of a log, how many loaves can be made? This is modeled by $5 \div \frac{1}{2} = $ ___.
7. Calculate the value of the expression $\frac{1}{5} \div 3$. The result is ___.
8. To model the expression $6 \div \frac{1}{4}$ using a tape diagram, what is the first step?
- A. Draw 6 wholes, and divide each whole into 4 parts.
- B. Draw 4 wholes, and divide each whole into 6 parts.
- C. Draw 1 whole, divide it into 6 parts, and shade 4.
- D. Draw 1 whole, divide it into 4 parts, and then divide one part into 6 pieces.
9. When modeling $\frac{1}{2} \div 5$ with a tape diagram, a $\frac{1}{2}$ piece is split into 5 equal parts. What fraction of the whole does each new part represent?
- A. $\frac{1}{2}$
- B. $\frac{1}{5}$
- C. $\frac{1}{7}$
- D. $\frac{1}{10}$
10. Solve the division problem: $2 \div \frac{1}{6} = $ ___.