1. Percents, Decimals, and Fractions
8-8
Percents, Decimals, and Fractions
Course 1
Warm Up
Problem of the Day
Lesson Presentation

2. Percents, Decimals, and Fractions
Course 1
8-8
Percents, Decimals, and Fractions
Warm Up
Write each percent as a fraction in simplest form.
1. 37% %
Write each percent as a decimal.
3. 59% % 39 50
___ 37
100
___
0.59
0.07

3. Percents, Decimals, and Fractions
Course 1
8-8
Percents, Decimals, and Fractions
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. Percents, Decimals, and Fractions
Course 1
8-8
Percents, Decimals, and Fractions
Learn to write decimals and fractions as percents.

5. Additional Example 1A: Writing Decimals as Percents
Course 1
8-8
Percents, Decimals, and Fractions
Additional Example 1A: Writing Decimals as Percents
Write each decimal as a percent.
Method 1: Use place value.
A. 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
Course 1
8-8
Percents, Decimals, and Fractions
Additional Example 1B: Writing Decimals as Percents
Write each decimal as a percent.
Method 1: Use place value.
B. 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
Course 1
8-8
Percents, Decimals, and Fractions
Additional Example 1C: Writing Decimals as Percents
Write each decimal as a percent.
Method 2: Multiply by 100. C
• 100
Multiply by 100.
41.18%
Add the percent symbol.

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

9. Percents, Decimals, and Fractions
Course 1
8-8
Percents, Decimals, and Fractions
Try This: Example 1A
Write each decimal as a percent.
Method 1: Use place value.
A. 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. Percents, Decimals, and Fractions
Course 1
8-8
Percents, Decimals, and Fractions
Try This: Example 1B
Write each decimal as a percent.
Method 1: Use place value.
B. 0.31 31
100
0.31 =
Write the decimal as a fraction. 31
100
___
Write the numerator with a percent symbol.
= 31%

11. Percents, Decimals, and Fractions
Course 1
8-8
Percents, Decimals, and Fractions
Try This: Example 1C
Write each decimal as a percent.
Method 2: Multiply by 100. C
• 100
Multiply by 100.
12.25%
Add the percent symbol.

12. Percents, Decimals, and Fractions
Course 1
8-8
Percents, Decimals, and Fractions
Try This: Example 1D
Write each decimal as a percent.
Method 2: Multiply by 100. D
0.023 • 100
Multiply by 100.
2.3%
Add the percent symbol.

13. Percents, Decimals, and Fractions
Course 1
8-8
Percents, Decimals, and Fractions
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
Course 1
8-8
Percents, Decimals, and Fractions
Additional Example 2A: Writing Fractions as Percents
Write each fraction as a percent.
Method 1: Write an equivalent fraction with a denominator of 100. A. 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
Course 1
8-8
Percents, Decimals, and Fractions
Additional Example 2B: Writing Fractions as Percents
Method 2: Use division to write the fraction as a decimal. B. 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. Percents, Decimals, and Fractions
Course 1
8-8
Percents, Decimals, and Fractions
Try This: Example 2A
Write each fraction as a percent.
Method 1: Write an equivalent fraction with a denominator of 100. A. 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. Percents, Decimals, and Fractions
Course 1
8-8
Percents, Decimals, and Fractions
Try This: Example 2B
Method 2: Use division to write the fraction as a decimal. B. 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
Course 1
8-8
Percents, Decimals, and Fractions
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. Percents, Decimals, and Fractions
Course 1
8-8
Percents, Decimals, and Fractions
Try This: 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. Percents, Decimals, and Fractions
Course 1
8-8
Percents, Decimals, and Fractions

21. Percents, Decimals, and Fractions Insert Lesson Title Here
Course 1
8-8
Percents, Decimals, and Fractions
Insert Lesson Title Here
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%