Fraction Division Problem Solving
Name Period
Objectives / Objetivos
Content Objective: I can solve real-world problems by deciding whether the question asks how many groups fit or how much is in one group, writing a fraction division equation, and checking the solution by multiplying.
Language Objective: I can explain my reasoning using the words model, equation, solution, and reasonableness.
Key Idea / Idea clave
Fraction Division Word Problems. Formula: Total Amount ÷ Group Size = Number of Groups. 1. Identify the Dividend (total amount being split or shared). 2. Identify the Divisor (size of each group or part). 3. Divide: Total ÷ Size = Number of Groups (or Total ÷ Groups = Size per Group)
I Notice / Observo
- What is the total amount of fingerprint dust?
- How much does each test use?
I Wonder / Me pregunto
- How do you decide which number is the dividend and which is the divisor?
Vocabulary / Vocabulario
| Term / Término | Definition / Definición |
|---|---|
| Fraction Division Problem Solving Resolución de problemas de división de fracciones | Use fraction division to find an unknown number of groups or the size of each group. Usar la división de fracciones para hallar una cantidad desconocida de grupos o el tamaño de cada grupo. |
| Model Modelo | A picture or math way to show a problem so you can solve it. Un dibujo o forma matemática de mostrar un problema para resolverlo. |
| Equation Ecuación | A math sentence with an equal sign showing both sides are the same. Una oración matemática con un signo igual que muestra que ambos lados son iguales. |
| Solution Solución | A number that makes the equation or inequality true. Un número que hace verdadera la ecuación o desigualdad. |
| Reasonableness Razonabilidad | Checking if your answer makes sense. Revisar si tu respuesta tiene sentido. |
| Inverse operations Operaciones inversas | Two math actions that undo each other, like × and ÷. Dos operaciones que se deshacen entre sí, como × y ÷. |
Practice Preview / Vista previa de práctica
Read each task. Show your work in the spaces provided and explain how you know.
1. A ribbon is 4/5 of a yard long. Each bow uses 1/10 of a yard. Which equation finds how many bows can be made?
- A 1/10 ÷ 4/5
- B 4/5 ÷ 1/10
- C 4/5 × 1/10
- D 4/5 + 1/10
Answer:
2. Solve each word problem by writing and solving an equation.
Complete each empty cell. Show your reasoning below.
| Problem | Equation | Solution |
|---|---|---|
| A board is 7/8 foot long. Each bracket needs 1/4 foot. How many FULL brackets can be cut? | ||
| A jug holds 5/6 liter. Each cup holds 1/3 liter. How many FULL cups can be filled? | ||
| A path is 3/4 mile long. A runner does laps of 3/8 mile. How many laps fit? |
3. Sort: is the equation and solution CORRECT, or is there an error?
Write each item in its correct group.
4. Find the Problem-Solving Error
Which step has the mistake, and what should it be?
Reflection / Reflexión
One thing I learned today / Una cosa que aprendí hoy: