1. Warm Up
Problem of the Day
Lesson Presentation
Lesson Quizzes

2. Write each fraction as a decimal. 1. 2.
Warm Up
Write each fraction as a decimal.
Write each decimal as a fraction. 3 4 __ 9 10 __
0.75
0.9 3 8 __ 1 20 __

3. Problem of the Day
Wally wanted to change the scale of a drawing from 1 in. = 2 ft to 1 in. = 10 ft. The scale height of a building in the first drawing is 25 in. How high is the building in the new drawing?
5 in.

4. Sunshine State Standards
MA.6.A.5.1 Use equivalent forms of fractions, decimals, and percents to solve problems.

5. Vocabulary
percent

6. Most states charge sales tax on items you purchase
Most states charge sales tax on items you purchase. Sales tax is a percent of the item’s price. A percent is a ratio of a number to 100.
You can remember that percent means “per hundred.” For example, 8% means “8 per hundred,” or “8 out of 100.”

7. If a sales tax rate is 8%, the following statements are true:
For every $1.00 you spend, you pay $0.08 in sales tax.
For every $10.00 you spend, you pay $0.80 in sales tax.
For every $100 you spend, you pay $8 in sales tax.
Because percent means “per hundred,” 100% means “100 out of 100.” This is why 100% is often used to mean “all” or “the whole thing.”

8. Additional Example 1: Modeling Percent
Use a 10-by-10-square grid to model 17%.
A 10-by-10 square grid has 100 squares.
17% means “17 out of 100” or 17
100
___
Shade 17 squares out of 100 squares.

9. Check It Out: Example 1A
Use a 10-by-10-square grid to model each percent.
26%

10. Check It Out: Example 1B
Use a 10-by-10-square grid to model each percent.
53%

11. Check It Out: Example 1C
Use a 10-by-10-square grid to model each percent.
14%

12. Converting Percents to Fractions
Step 1
Write the percent in the numerator without the ‘%‘.
Step 2
Write 100 in the denominator.
Step 3
Simplify.

13. Additional Example 2: Writing Percents as Fractions
Write 35% as a fraction in simplest form. 35
100
___
Write the percent as a fraction with a denominator of 100.
35% =
35 ÷ 5
100 ÷ 5
_______ 7 20 __ =
Write the fraction in simplest form. 7 20 __
Written as a fraction, 35% is

14. Check It Out: Example 2A
Write each percent as a fraction in simplest form.
65% 65
100
___ 13 20 __ =

15. Check It Out: Example 2B
Write each percent as a fraction in simplest form.
20% 20
100
___ 1 5 __ =

16. Check It Out: Example 2C
Write each percent as a fraction in simplest form.
76% 76
100
___ 19 25 __ =

17. Additional Example 3: Life Science Application
Janell has 20% body fat. Write 20% as a fraction in simplest form. 20
100
___
Write the percent as a fraction with a denominator of 100.
20% =
20 ÷ 20
100 ÷ 20
_______ 1 5 __ =
Write the fraction in simplest form. 1 5 __
Written as a fraction, 20% is

18. Check It Out: Example 3
Timmy is a football player with 10% body fat. Write 10% as a fraction in simplest form. 10
100
___ 1 10 __ =

19. Additional Example 4: Writing Percents as Decimals
Write 56% as a decimal. 56
100
___
Write the percent as a fraction with a denominator of 100.
56% =
0.56
–500
600
–600
Write the fraction as a decimal.
Written as a decimal, 56% is 0.56.
To divide by 100, move the decimal point two places to the left. 56 ÷ 100 = 0.56
Remember!

20. Check It Out: Example 4A
Write each percent as a decimal.
32% 32
100
___ =
0.32

21. Check It Out: Example 4B
Write each percent as a decimal.
19% 19
100
___ =
0.19

22. Check It Out: Example 4C
Write each percent as a decimal.
80% 80
100
___ 8 10
___ = =
0.8

23. Additional Example 5: Application
Water made up 85% of the fluids that Kirk drank yesterday. Write 85% as a decimal. 85
100
___
Write the percent as a fraction with a denominator of 100.
85% =
85 ÷ 100 = 0.85
Write the fraction as a decimal.
Written as a decimal, 85% is 0.85.

24. Check It Out: Example 5
Water made up 95% of the fluids that Lisa drank yesterday. Write 95% as a decimal. 95
100
___ =
0.95

25. Percents Group Problems
Solve the following problems and check your answers with the fellow members of your group.
In a survey, 100 dog owners were asked where their dogs sleep. The results are shown as percents.
What percent of the people responded “Other”?
42% + 30% + 18% = 90% % – 90% = 10%
What percent of the people did not respond “Dog Bed”?
100% - 18% = 82%
Where dogs sleep
Percent
Owner’s bed
42%
Doghouse
30%
Dog bed
18%
Other ?

26. Lesson Quizzes
Standard Lesson Quiz
Lesson Quiz for Student Response Systems

27. Lesson Quiz
Write each percent as a fraction in simplest form.
1. 52% %
Write each percent as a decimal.
3. 17% %
5. A store clerk has an 8% sales increase. Write the increase as a fraction in simplest form and as a decimal. 13 25 __ 29
100
___
0.17
0.86 2 25 __
, 0.08

28. Lesson Quiz for Student Response Systems
1. Which of the following represents 15% as a fraction in simplest form?
A B.
C D.

29. Lesson Quiz for Student Response Systems
2. Which of the following represents 79% as a fraction in simplest form?
A B.
C D.

30. Lesson Quiz for Student Response Systems
3. Which of the following represents 26% as a decimal?
A B
C D

31. Lesson Quiz for Student Response Systems
4. Which of the following represents 71% as a decimal?
A B. 0.71
C D

32. Lesson Quiz for Student Response Systems
5. 82% of Brett’s DVD collection are action movies. Which of the following represents 82% as a fraction in simplest form and as a decimal?
A B.
C D.