1. Decimals and Fractions
Unit 4.4
Pages

2. Find the greatest common factor for these sets
Warm Up
Problems
15, 24 =
30, 60 =
12,16,24 =
Find the greatest common factor for these sets 3 30 4

3. Decimals and Fractions
Objective: Students will be able to convert numbers in decimals, into fractions, and then back again. These may include mixed numbers, and placing them on a number line.

4. Definitions:
Mixed Number: A number that can claim both whole numbers bigger than 0, and a part of a whole.
Repeating Decimal:
is a number that never ends because a zero is brought down from the dividend.

5. Decimals can be written as Fractions or as Mixed Numbers
Decimals can be written as Fractions or as Mixed Numbers. We can also plot these numbers on a number line to help show us how large or small they are.
.23
1.7 1 2 3
.23
100 7 10 1
The 3 is in the hundredths place
so we use the 100 as the denominator.
The 7 is in the tenths place
so we use 10 as
the denominator.

6. #1) Write the decimal below as a fraction or mixed number
#1) Write the decimal below as a fraction or mixed number. Then plot it on the number line below.
0.15 1 2 3
.15
100
The 5 is in the hundredths place
so we use the 100 as the denominator.

7. #2) Write the decimal below as a fraction or mixed number
#2) Write the decimal below as a fraction or mixed number. Then plot it on the number line below.
1.25 1 2 3 25
100
The 5 is in the hundredths place
so we use the 100 as the denominator. 1

8. #3) Write the decimal below as a fraction or mixed number
#3) Write the decimal below as a fraction or mixed number. Then plot it on the number line below.
0.43 1 2 3
The 3 is in the hundredths place
so we use the 100 as the denominator. 43
100

9. 2.6 2 6 1 2 3 10 #4) Write the decimal below as a fraction.
Then plot it on the number line below.
2.6 1 2 3 6 10
The 6 is in the tenths place
so we use 10 as
the denominator. 2

10. Fractions can be converted (or changed) into Decimals
Fractions can be converted (or changed) into Decimals. We use the fraction bar to divide until it factors out, or if it continues to repeat.
.75 = ___%
4 3.00
-28 20
3/4
Divided By 1 2 3
.75
The 5 is in the hundreths
place so we use 100 as
the denominator.

11. #5) Write the following fraction or mixed number as a decimal.
2/5
.40 =___%
5 2.00
-2 0
Divided By 1 2 3
.40
The 4 is in the tenths
Place so we use 10 as
the denominator.

12. #7) Write the following fraction or mixed number as a decimal.
.122 =___%
8 1.00
- 8 20
-18
1/8
Divided By 1 2 3
.12
The 2 is in the hundreths
Place so we use 100 as
the denominator.

13. Write the following fraction or mixed number as a decimal.
.666
3 2.00
-1 8 20
When a number keeps repeating we place a bar over it. 2
2 2/3
Divided By 1 2 3
The 2 is on the Left of the
decimal so place that 2 as a whole number on the left in the answer.
2.66

14. #6) Write the following fraction or mixed number as a decimal.
.875 =___%
-6 4
6 0
-5 6
4 0
2 7/8
Divided By 1 2 3
The 2 is on the Left of the
decimal so place that 2 as a whole number on the left in the answer.
2.66

15. Now that we know how to make every fraction a decimal, and every decimal a fraction we can look at fractions and try to estimate how big or small they are.

16. Close to 1 Close to 0 Close to ½ Let’s practice estimating decimals:
Use the worksheet below to practice.
Close to 0
Close to ½
Close to 1

17. Homework
(4.4) page 177
Due: Friday
12-27

18. Convert these fractions into decimals to the nearest hundredth.
Warm Up
Problems
4/25=
3/20=
2/5 =
Convert these fractions into decimals to the nearest hundredth.
.16
.15
.40

19. Introduce how to order simple fractions using
Fraction cards (J sets 1-5)
register tape
4.4 grading warm up.

20. If I give you a piece of register tape
If I give you a piece of register tape. How would we plot all our fractions to see which ones are larger, and which ones are smaller?
Where would the 0, ½ and 1 be placed?
How can we show that these are equal?
Would we want to show any other points besides the 1, ½ and 1?

21. Now that we know how to convert decimals we can place them for least to greatest on a number line.
% %
0.50, 0.37, 1/5
.20 = ____%
5 1.00
-1 0 00
1/5
.20
0.50 1 2 3
0.37

22. #9) Order the fractions and decimals from least to greatest.
% %
2/3, .78, .21
. =___%
2 3.
2/3
.66 1 2 3
0.21
0.78

23. #10) Order the fractions and decimals from least to greatest.
5/16, 0.67, 1/6 .
16 5. .
6 1.0 1 2 3
1/6
5/16
0.67

24. #11) Order the fractions and decimals from least to greatest.
0.52, 1/9, 0.3 .
9 1. 1 2 3
1/9
0.3
0.52

25. Homework
(4.4) page 177
Due: Monday
(15 questions)

26. 0.24
2 3/5
Write each decimal as a fraction.
Write as a decimal.
6/25
2.6
Order from Least to Greatest
Order from Least to Greatest
2/3, 5/12, 4/9, 1/
.49 , ½, .82
5/12, 4/9, 2/3