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. Sunshine State Standards
MA.6.A.5.1 Use equivalent forms of fractions, decimals, and percents to solve problems.
Also MA.6.A.5.2

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 2: Multiply by 100.
0.4118
• 100
Multiply by 100.
41.18%
Add the percent symbol.

7. Check It Out: Example 1A
Write the decimal as a percent.
0.023
2.3%

8. Check It Out: Example 1B
Write the decimal as a percent.
0.018
1.8%

9. Check It Out: Example 1C
Write the decimal as a percent.
0.957
95.7%

10. 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

11. 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%

12. 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%

13. Check It Out: Example 2A
Write the fraction as a percent. 7 50 __ 7 50 __
7 • 2
50 • 2
______ = 14
100
___ =
= %

14. Check It Out: Example 2B
Write the fraction as a percent. 11 50 __ 11 50 __
11 • 2
50 • 2
______ = 22
100
___ =
= %

15. 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%
Write the numerator with a percent symbol.
28% of people with home offices were self-employed.

16. Check It Out: Example 3A
During the soccer season, of Evan’s teammates scored a goal. What percent of Evan’s teammates scored a goal? 9 20 __ 9 20 __
9 • 5
20 • 5
______ = 45
100
___ =
= 45%

17. Check It Out: Example 3B
Jo spends of her time at the gym doing stretches to warm up. What percent of Jo’s time at the gym does she spend stretching? 1 5 __ 1 5 __
1 • 20
5 • 20
______ = 20
100
___ =
= 20%

18. Check It Out: Example 3C
George wants of the calories he eats to come from protein. What percent of George’s calories should come from protein? 2 5 __ 2 5 __
2 • 20
5 • 20
______ = 40
100
___ =
= 40%

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

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

21. 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%

22. 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%

23. 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 %

24. 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%

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

26. 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%