Converting Percents, Decimals, and Fractions

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

2. 37 39 ___ ___ 100 50 Warm Up Write each percent as a fraction in simplest form. 1. 37% 2. 78% Write each percent as a decimal. 3. 59% 4. 7% 0.07 0.59

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

6. 16 __ 100 16 ___ 100 Additional Example 1B: Writing Decimals as Percents Write the decimal as a percent. Method 1: Use place value. 0.16 0.16 = Write the decimal as a fraction. 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 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. 9 __ 10 9 • 10 90 _______ ___ 10 • 10 100 90 ___ 100 Check It Out: Example 1A Write the decimal as a percent. Method 1: Use place value. 0.9 0.9 = Write the decimal as a fraction. Write an equivalent fraction with 100 as the denominator. = Write the numerator with a percent symbol. = 90%

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

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

15. 3 __ 20 0.15 20 3.00 –20 100 –100 0 Additional Example 2B: Writing Fractions as Percents Method 2: Use division to write the fraction as a decimal. 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. 7 __ 50 7 • 2 14 ______ ___ 50 • 2 100 14 ___ 100 Check It Out: Example 2A Write the fraction as a percent. Method 1: Write an equivalent fraction with a denominator of 100. Write an equivalent fraction with 100 as the denominator. = Write the numerator with a percent symbol. = 14%

17. 8 __ 50 0.16 50 8.00 Check It Out: Example 2B Method 2: Use division to write the fraction as a decimal. 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. 7 __ 25 7 __ 25 7 • 4 28 ______ ___ 25 • 4 100 28 ___ 100 Additional Example 3: Application One year, of people with home offices were self-employed. What percent of people with home offices were self employed? Write an equivalent fraction with a denominator of 100. = = 28% 28% of people with home offices were self-employed.

19. 3 __ 50 3 __ 50 3 • 2 6 ______ ___ 50 • 2 100 6 ___ 100 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? Write an equivalent fraction with a denominator of 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. 9 1 __ __ 16 5 1 __ 16 Lesson Quiz Write each decimal as a percent. 1. 0.26 2. 0.419 Write each fraction as a percent. 3.4. 5. About of all the students at a local high school own their own car. What percent is this? 26% 41.9% 56.25% 20% 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 0.143 as a percent? A. 143% B. 1.43% C. 14.3%D. 0.143%

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. 78.75% B. 68.75% 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%