text: # 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?
explanation: The document contains a series of math problems and questions, each requiring a specific calculation or reasoning. Some problems are accompanied by diagrams, and others require writing equations. The document does not provide answers to these questions, only the problems themselves.
distilabel_metadata.content: Evaluate the user given text extract and determine if it contains a math question and optionally and answer to this question.
  
  Output rules:
  
  1. Briefly describe the document and mention if it contains a question or a question and answer.
  2. Finalize the output with: Label: no-question,question,question-and-answer,multiple-question,multiple-question-and-answer
distilabel_metadata.role: system
distilabel_metadata.content: # 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?
distilabel_metadata.role: user
distilabel_metadata.raw_output_q_a_detector_0: The document contains a series of math problems and questions, each requiring a specific calculation or reasoning. Some problems are accompanied by diagrams, and others require writing equations. The document does not provide answers to these questions, only the problems themselves.
  
  Label: multiple-question