1. 7-5 Percents, Decimals, and Fractions Warm Up Warm Up Lesson Presentation Lesson Presentation Problem of the Day Problem of the Day Lesson Quizzes Lesson Quizzes

2. 7-5 Percents, Decimals, and Fractions 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% 0.59 0.07 37 100 ___ 39 50 ___

3. 7-5 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. 7-5 Percents, Decimals, and Fractions MA.6.A.5.1 Use equivalent forms of fractions, decimals, and percents to solve problems. Also MA.6.A.5.2 Sunshine State Standards

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

6. 7-5 Percents, Decimals, and Fractions Additional Example 1B: Writing Decimals as Percents Write the decimal as a percent. Method 2: Multiply by 100. 0.4118 Multiply by 100.0.4118 100 41.18%Add the percent symbol.

7. 7-5 Percents, Decimals, and Fractions Check It Out: Example 1A Write the decimal as a percent. 0.023 2.3%

8. 7-5 Percents, Decimals, and Fractions Check It Out: Example 1B Write the decimal as a percent. 0.018 1.8%

9. 7-5 Percents, Decimals, and Fractions Check It Out: Example 1C Write the decimal as a percent. 0.957 95.7%

10. 7-5 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

11. 7-5 Percents, Decimals, and Fractions Additional Example 2A: Writing Fractions as Percents Write an equivalent fraction with 100 as the denominator. 9 4 25 4 ______ = 36 100 ___ 36 100 ___ = 36% Write the numerator with a percent symbol. 9 25 __ Write the fraction as a percent. Method 1: Write an equivalent fraction with a denominator of 100.

12. 7-5 Percents, Decimals, and Fractions Additional Example 2B: Writing Fractions as Percents Divide the numerator by the denominator. 0.15 = 15% Multiply by 100 by moving the decimal point right two places. Add the percent symbol. 3 20 __ 100 20 3.00 0.15 –20 –100 0 Method 2: Use division to write the fraction as a decimal.

13. 7-5 Percents, Decimals, and Fractions Check It Out: Example 2A Write the fraction as a percent. 7 2 50 2 ______ = 14 100 ___ = 14% 7 50 __ 7 50 __ =

14. 7-5 Percents, Decimals, and Fractions Check It Out: Example 2B Write the fraction as a percent. 11 2 50 2 ______ = 22 100 ___ = 22% 11 50 __ 11 50 __ =

15. 7-5 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? Write an equivalent fraction with a denominator of 100. 7 4 25 4 ______ = 28 100 ___ 28 100 ___ = 28% 7 25 __ 7 25 __ 28% of people with home offices were self-employed. Write the numerator with a percent symbol.

16. 7-5 Percents, Decimals, and Fractions 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 5 20 5 ______ = 45 100 ___ = 45% 9 20 __ 9 20 __ =

17. 7-5 Percents, Decimals, and Fractions 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 20 5 20 ______ = 20 100 ___ = 20% 1 5 __ 1 5 =

18. 7-5 Percents, Decimals, and Fractions 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 20 5 20 ______ = 40 100 ___ = 40% 2 5 __ 2 5 =

19. 7-5 Percents, Decimals, and Fractions The number line below shows common equivalent fractions, decimals, and percents.