Lesson 06: Using Diagrams to Find the Number of Groups | Unit 4: Dividing Fractions

Draw

Draw a tape diagram to represent the question “How many groups of $$\frac14$$ are in 3?”

Multiple Choice

How many groups of $$\frac14$$ are in 3?

• 12
• 6
• 8
• 10

Multiple Choice

Describe how to draw a tape diagram to represent and answer 3 ÷ 3/5 = {?} for a friend who was absent.

• 1
• 5
• 3
• 6

Multiple Choice

How many groups of $$\frac{1}{2}$$ day are in 1 week? Write a multiplication equation or a division equation to represent the question.

• 12
• 10
• 14
• 16

Draw

How many groups of $$\frac12$$ day are in 1 week? Draw a tape diagram to show the relationship between the quantities and to answer the question. Use graph paper, if needed.

Open Ended

Diego said that the answer to the question “How many groups of $$\frac{5}{6}$$ are in 1?” is $$\frac{6}{5}$$ (or $$1\frac{1}{5}$$ ). Do you agree with him? Explain or show your reasoning.

Open Ended

How many groups of $$\frac34$$ are in $$\frac{11}{4}$$ ? Provide your answer with reasoning.

Open Ended

How many groups of $$\frac{3}{4}$$ are in $$6\frac{1}{2}$$ ? Provide your answer with reasoning.

Open Ended

Noah says, “There are $$2\frac12$$ groups of $$\frac45$$ in 2.” Do you agree with him? Explain your reasoning.

Draw

Draw a tape diagram to show your reasoning for whether there are $$2\frac12$$ groups of $$\frac45$$ in 2. Use graph paper, if needed.