Lesson 04: How Many Groups? (Part 1) | Unit 4: Dividing Fractions

Multiple Choice

We can think of $$8 \div 2 = ?$$ as asking: “How many 2s are in 8?” or “What is in each group if there are 2 groups in 8?” Interpret the equation $$8 \div 3 = {?}$$ . Which of the following questions represents this interpretation?

• How much is in each group if there are 3 groups in 8?
• How many 4s are in 8?
• How much is in each group if there are 4 groups in 8?
• What is the total if there are 3 groups of 2?

Multiple Choice

We can think of $$8 \div 2 = ?$$ as asking: “How many 2s are in 8?” or “What is in each group if there are 2 groups in 8?” Interpret the equation $$8 \div \frac{1}{3} = {?}$$ . What is the result of this division?

• 24
• 10
• 16
• 4

Open Ended

Use the diagram to answer the question: How many $$\frac{1}{3}$$ s are in $$1\frac{2}{3}$$ ? The hexagon represents 1 whole. Explain or show your reasoning.

Multiple Choice

Which question can be represented by the equation $$?\cdot\frac{1}{8}=3$$ ?

• How many 3s are in $$\frac18$$ ?

• What is 3 groups of $$\frac18$$ ?

• How many $$\frac 18$$ s are in 3?

• What is $$\frac 18$$ of 3?

Draw

A shopper buys cat food in bags of 3 lb. His cat eats $$\frac{3}{4}$$ lb each week. Draw a diagram to represent the situation, and label your diagram so it can be followed by others. Answer the question.

Multiple Choice

A shopper buys cat food in bags of 3 lb. His cat eats $$\frac{3}{4}$$ lb each week. How many weeks does one bag last? Write a multiplication or division equation to represent the situation.

• 4 weeks
• 2 weeks
• 6 weeks
• 1 week

Multiple Choice

A shopper buys cat food in bags of 3 lb. His cat eats $$\frac{3}{4}$$ lb each week. Multiply your answer in the first question (the number of weeks) by $$\frac{3}{4}$$ . Did you get 3 as a result? If not, revise your previous work.

• No, the result is 1.
• Yes, the result is 3.

Multiple Choice

Write a multiplication equation to represent the sentence: There are 12 fourths in 3.

• 12 = 3 * 4
• 4 = 12 * 3
• 3 = 4 * 12
• 12 = 4 * 3

Multiple Choice

Write a division equation to represent the sentence: There are 12 fourths in 3.

• 3 ÷ 4 = 12
• 12 ÷ 3 = 4
• 3 × (1/4) = 12
• 3 ÷ (1/4) = 12

Multiple Choice

Which multiplication equation represents the diagram?

• 4 x 1/4
• 1 x 2
• 2 x 1/2
• 3 x 1/2