# Lesson 3

How Many Groups?

### Problem 1

Use the tape diagram to find the value of $$\frac12\div\frac13$$. Show your reasoning.

### Problem 2

Use the tape diagram to answer the question: How many $$\frac25$$s are in $$1\frac12$$? Show your reasoning.

### Problem 3

Write a multiplication equation and a division equation to represent each sentence or diagram.

1. There are 12 fourths in 3.

2. How many $$\frac 23$$s are in 6?

### Problem 4

Diego said that the answer to the question “How many groups of $$\frac56$$ are in 1?” is $$\frac 65$$ or $$1\frac15$$. Do you agree with him? Explain or show your reasoning.

### Problem 5

At a farmer’s market, two vendors sell fresh milk. One vendor sells 2 liters for $3.80, and another vendor sells 1.5 liters for$2.70. Which is the better deal? Explain your reasoning.

### Solution

(From Unit 2, Lesson 16.)

### Problem 6

Calculate each percentage mentally.

1. What is 10% of 70?
2. What is 10% of 110?
3. What is 25% of 160?
4. What is 25% of 48?
5. What is 50% of 90?
6. What is 50% of 350?
7. What is 75% of 300?
8. What is 75% of 48?
The text passage contains multiple problems, each of which includes a mathematical question, and some of these questions have answers provided in the form of solutions or reasoning.
multiple_questions_with_answers
Given a text passage, determine:
    1. If it contains a mathematical question (including word problems or calculations)
    2. If an answer to that mathematical question is provided in the text

First, describe the content structure you found in 1-2 sentences.

Then provide your analysis in the following format:
TYPE: <one of the following values>
- NO_QUESTION
- SINGLE_QUESTION
- SINGLE_QUESTION_WITH_ANSWER
- MULTIPLE_QUESTIONS
- MULTIPLE_QUESTIONS_WITH_ANSWERS
system
# Lesson 3

How Many Groups?

### Problem 1

Use the tape diagram to find the value of $$\frac12\div\frac13$$. Show your reasoning.

### Problem 2

Use the tape diagram to answer the question: How many $$\frac25$$s are in $$1\frac12$$? Show your reasoning.

### Problem 3

Write a multiplication equation and a division equation to represent each sentence or diagram.

1. There are 12 fourths in 3.

2. How many $$\frac 23$$s are in 6?

### Problem 4

Diego said that the answer to the question “How many groups of $$\frac56$$ are in 1?” is $$\frac 65$$ or $$1\frac15$$. Do you agree with him? Explain or show your reasoning.

### Problem 5

At a farmer’s market, two vendors sell fresh milk. One vendor sells 2 liters for $3.80, and another vendor sells 1.5 liters for$2.70. Which is the better deal? Explain your reasoning.

### Solution

(From Unit 2, Lesson 16.)

### Problem 6

Calculate each percentage mentally.

1. What is 10% of 70?
2. What is 10% of 110?
3. What is 25% of 160?
4. What is 25% of 48?
5. What is 50% of 90?
6. What is 50% of 350?
7. What is 75% of 300?
8. What is 75% of 48?
user
The text passage contains multiple problems, each of which includes a mathematical question, and some of these questions have answers provided in the form of solutions or reasoning.

TYPE: MULTIPLE_QUESTIONS_WITH_ANSWERS