1. By the end of the lesson, you will be able to…
Lesson 29 Objective: Connect division by a unit fraction to division by 1 tenth and 1 hundredth
5th Grade Module 4– Lesson 29
K. Clauson

2. Count By Fractions

3. Divide Whole Numbers By Unit Fractions & Fractions by Whole Numbers

4. Application Problem
Fernando bought a jacket for $185 and sold it for 1 ½ times what he paid. Marisol spent 1/5 as much as Fernando on the same jacket but sold it for ½ as much as Fernando did. How much money did Marisol make? Explain your thinking using a diagram.

5. Problem 1= 7 ÷ 0.1 7 ones divided by 1 tenth
Concept Development
Problem 1= 7 ÷ 0.1
7 ones divided by 1 tenth
Read the division expression using unit form.
Rewrite the expression using a fraction.
What question does this division expression ask us?
Let’s start with just 1 whole. How many tenths are in 1 whole?
Think of this another way…
7 ÷ 1/10
How many tenths are in 7?
7 is one tenth of what number?
10 tenths
There are _____ tenths in 7 wholes. 70
Seven is one-tenth of what number?

6. Problem 2= 7.4 ÷ 0.1
Rewrite this division expression using a fraction for the divisor.
Compare this problem to the last one… what do you notice?
7.4 ÷ 1/10
There still are 7 wholes, but now there are also 4 more tenths.
There are 74 tenths instead of 70 tenths
We can ask ourselves, 7.4 is 1 tenth of what number?

7. Problem 2= 7.4 ÷ 0.1 74 We already know this part… 70 4
There are _____ tenths in 7 wholes.
There are _____ tenths in 4 tenths.
So how many tenths are in 7 and 4 tenths? 70 4 74
74 tenths ÷ 1 tenth = 74 tenths

8. Try these problems! 60 62 90 98 120 126 6 ÷ 0.1= 6.2 ÷ 0.1= 9 ÷ 0.1=
9.8 ÷ 0.1=
12 ÷ 0.1=
12.6 ÷ 0.1= 62 90 98
120
126

9. Problem 3a = 7 ÷ 0.01 Read this expression
Rewrite the division expression using a fraction for the divisor
We can think of this as finding how many hundredths are in 7.
Will our quotient be greater than or less than our last problem?
7 ÷ 1/100
Greater because we are counting units
that are much smaller, so there will be
more of them.

10. Problem 3a = 7 ÷ 0.01
Before we think about how many hundredths are in 7 wholes, let’s find out how many hundredths are in 1 whole.
There are ______ hundredths in 1 whole.
There are ______ hundredths in 7 wholes.
So 7 ÷ 1/100 = 700
7 ÷ 0.01 = 700
100
700

11. Problem 3b = 7.4 ÷ 0.01
7 and 4 tenths
What is the whole in this division expression?
How many hundredths are in 7 wholes?
How many hundredths are in 4 tenths?
How many hundredths are in 7.4?
Asked another way, if 7.4 is 1 hundredth, what is the whole?
700 40
740
740

12. Problem 3c = 7.49 ÷ 0.01
Work with a partner to solve this problem. Be prepared to explain your thinking.
7.49 ÷ 1/100 = 749
7.49 ÷ 0.01 = 749

13. Final Problems! How many hundredths are in 6?
6.02?
12.6?
12.69?
600
620
602
1260
1,269

14. Get Ready to Finish the Problem Set on Your Own!
Work on Problem Set 29.
You will have 10 minutes to work!
Fast finishers:
Math Center Activities- choice boards, extra Sprint challenge
CML packets/ worksheets
Problem Solving pages
5th Grade Module 4– Lesson 29
K. Clauson

15. LET’S Debrief Take 2 minutes to check your answers with your partner.
Let’s share any insights you had while solving these problems.
5th Grade Module 4- Lesson 29
K. Clauson

16. EXIT
TICKET
LESSON 29
5th Grade Module 4– Lesson 29
K. Clauson