Lesson 10: Dividing by Unit and Non-Unit Fractions | Unit 4: Dividing Fractions

Open Ended

Priya is sharing 24 apples equally with some friends. She uses division to find out how many people can have a share if each person gets a particular number of apples. For example, $$24 \div 4 = 6$$ means that if each person gets 4 apples, then 6 people can have apples. Here are some other calculations:

$$24 \div 4 = 6$$

$$24 \div 2 = 12$$

$$24 \div 1 = 24$$

$$24 \div \frac12 = {?}$$

Priya thinks the “?” represents a number less than 24. Do you agree? Explain or show your reasoning.

Multiple Choice

Priya is sharing 24 apples equally with some friends. She uses division to find out how many people can have a share if each person gets a particular number of apples. For example, $$24 \div 4 = 6$$ means that if each person gets 4 apples, then 6 people can have apples. Here are some other calculations:

$$24 \div 4 = 6$$

$$24 \div 2 = 12$$

$$24 \div 1 = 24$$

$$24 \div \frac12 = {?}$$

The value of $$24 \div \frac{1}{2}$$ tells us how many people can enjoy the apples that Priya has if each person gets half an apple. What is that value?

• 12

• 24

• 48

• 36

Multiple Choice

What is the result of $$1 \div \frac{1}{10}$$ and $$4 \div \frac{1}{10}$$ ?

• 5 and 20
• 10 and 40
• 100 and 400
• 1 and 4

Multiple Choice

What is the result of $$18 \div \frac{1}{10}$$ ?

• 18
• 1.8
• 1800
• 180

Open Ended

Explain how you could find 4 ÷ 2/10 and 4 ÷ 8/10.

Multiple Choice

What is the quotient of 5 divided by $$\frac{1}{10}$$ ?

• 50
• 5
• 0.5
• 100

Multiple Choice

What is the quotient of 5 divided by $$\frac{3}{10}$$ ?

• 16.67
• 20
• 10
• 1.5

Multiple Choice

What is the quotient of 5 divided by $$\frac{9}{10}$$ ?

• 1
• 50/9
• 5
• 10/9

Open Ended

Use the fact that $$2\frac12 \div \frac18=20$$ to find $$2\frac12 \div \frac58$$ . Explain or show your reasoning.

Multiple Choice

What is the result of dividing $$4\frac12$$ by $$\frac18$$ ?

• 36
• 12
• 24
• 8