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

2. Warm Up
Write each percent as a fraction in simplest form.
1. 37% %
Write each percent as a decimal.
3. 59% % 37
100
___ 39 50
___
0.59
0.07

3. Problem of the Day
Jennifer gave Karen 50% of her comic books. Karen gave Jack 50% of the books she got from Jennifer. Jack gave Lucas 50% of the books he got from Karen. Lucas got 4 comic books. What percent of Jennifer’s comic books does Lucas have?
12.5%

4. Learn to write decimals and fractions as percents.

5. Additional Example 1A: Writing Decimals as Percents
Write the decimal as a percent.
Method 1: Use place value.
0.7 7 10 __
0.7 =
Write the decimal as a fraction.
7 • 10
10 • 10
_______ 70
100
___
Write an equivalent fraction with 100 as the denominator. = 70
100
___
Write the numerator with a percent symbol.
= 70%

6. Additional Example 1B: Writing Decimals as Percents
Write the decimal as a percent.
Method 1: Use place value.
0.16 16
100 __
0.16 =
Write the decimal as a fraction. 16
100
___
Write the numerator with a percent symbol.
= 16%

7. Additional Example 1C: Writing Decimals as Percents
Write the decimal as a percent.
Method 2: Multiply by 100.
0.4118
• 100
Multiply by 100.
41.18%
Add the percent symbol.

8. Additional Example 1D: Writing Decimals as Percents
Write the decimal as a percent.
Method 2: Multiply by 100.
0.067
0.067 • 100
Multiply by 100.
6.7%
Add the percent symbol.

9. Check It Out: Example 1A
Write the decimal as a percent.
Method 1: Use place value.
0.9 9 10 __
0.9 =
Write the decimal as a fraction.
9 • 10
10 • 10
_______ 90
100
___
Write an equivalent fraction with 100 as the denominator. = 90
100
___
Write the numerator with a percent symbol.
= 90%

10. Check It Out: Example 1B
Write the decimal as a percent.
Method 1: Use place value.
0.31 31
100
0.31 =
Write the decimal as a fraction. 31
100
___
Write the numerator with a percent symbol.
= 31%

11. Check It Out: Example 1C
Write the decimal as a percent.
Method 2: Multiply by 100.
0.1225
• 100
Multiply by 100.
12.25%
Add the percent symbol.

12. Check It Out: Example 1D
Write the decimal as a percent.
Method 2: Multiply by 100.
0.023
0.023 • 100
Multiply by 100.
2.3%
Add the percent symbol.

13. When the denominator is a factor of 100, it is often easier to use method 1. When the denominator is not a factor of 100, it is usually easier to use method 2.
Helpful Hint

14. Additional Example 2A: Writing Fractions as Percents
Write the fraction as a percent.
Method 1: Write an equivalent fraction with a denominator of 100. 9 25 __
9 • 4
25 • 4
______ 36
100
___
Write an equivalent fraction with 100 as the denominator. = 36
100
___
Write the numerator with a percent symbol.
= 36%

15. Additional Example 2B: Writing Fractions as Percents
Method 2: Use division to write the fraction as a decimal. 3 20 __
100
0.15
–20
–100
Divide the numerator by the denominator.
Multiply by 100 by moving the decimal point right two places. Add the percent symbol.
0.15 = 15%

16. Check It Out: Example 2A
Write the fraction as a percent.
Method 1: Write an equivalent fraction with a denominator of 100. 7 50 __
7 • 2
50 • 2
______ 14
100
___
Write an equivalent fraction with 100 as the denominator. = 14
100
___
Write the numerator with a percent symbol.
= 14%

17. Check It Out: Example 2B
Method 2: Use division to write the fraction as a decimal. 8 50 __
0.16
Divide the numerator by the denominator.
Multiply by 100 by moving the decimal point right by two places. Add the percent symbol.
0.16 = 16%

18. Additional Example 3: Application
One year, of people with home offices
were self-employed. What percent of people with home offices were self employed? 7 25 __ 7 25 __
7 • 4
25 • 4
______ 28
100
___
Write an equivalent fraction with a denominator of 100. = 28
100
___
= 28%
28% of people with home offices were self-employed.

19. Check It Out: Example 3
One year, of people who bought new cars
bought cars that were yellow. What percent of people that bought new cars bought yellow cars? 3 50 __ 3 50 __
3 • 2
50 • 2
______ 6
100
___
Write an equivalent fraction with a denominator of 100. = 6
100
___
= 6%
6% of people with new cars bought yellow cars.

20. The number line below shows common equivalent fractions, decimals, and percents.

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

22. Lesson Quiz
Write each decimal as a percent.
Write each fraction as a percent.
5. About of all the students at a local high
school own their own car. What percent is this?
26%
41.9% 1 5 __ 9 16 __
20%
56.25% 1 16 __
6.25%

23. Lesson Quiz for Student Response Systems
1. Which of the following represents the decimal 0.37 as a percent?
A. 0.37% B. 37%
C. 3.7% D. 370%

24. Lesson Quiz for Student Response Systems
2. Which of the following represents the decimal as a percent?
A. 143% B. 1.43%
C. 14.3% D %

25. Lesson Quiz for Student Response Systems
3. Which of the following represents the fraction as a percent?
A. 0.24% B. 24%
C. 2.4% D. 240%

26. Lesson Quiz for Student Response Systems
4. Which of the following represents the fraction as a percent?
A % B %
C. 70% D. 60%

27. Lesson Quiz for Student Response Systems
5. Mike correctly answered of the questions on his math test. What percent of the questions were answered correctly?
A. 4.5% B. 80%
C. 45% D. 90%