1. 6-2 Fractions, Decimals, and Percents Course 2 Warm Up Warm Up Problem of the Day Problem of the Day Lesson Presentation Lesson Presentation

2. Warm Up Write each fraction in the simplest form. Course 2 6-2 Fractions, Decimals, and Percents 1. 4 10 8 50 2. 3. 75 100 4. 12 36 5.6. 18 48 2525 3434 1313 3535 3838 4 25 9 15

3. Problem of the Day Use the clues to find the mystery percent. Course 2 6-2 Fractions, Decimals, and Percents 1. The product of its digits is 24. 1212 3. The sum of its digits is a prime number. 83% 2. It is greater than.

4. Learn to write decimals and fractions as percents. Course 2 6-2 Fractions, Decimals, and Percents

5. Course 2 6-2 Fractions, Decimals, and Percents The students at Westview Middle School are collecting cans of food for the local food bank. Their goal is to collect 2,000 cans in one month. After 10 days, they have 800 cans of food. What percent of their goal have they reached?

6. Course 2 6-2 Fractions, Decimals, and Percents 0200400600 800 1,000 1,2001,4001,600 1,800 2,000 0 1515 2525 3535 4545 5555 0 0 0.2 0.4 0.60.8 1.0 0 20% 40% 60% 80% 100% The model shows that 800 out of 2,000 can be written as,, 0.4, or 40%. The students have reached 40% of their goal. 800 2000 2525

7. Write 0.7 as a percent. Additional Example 1: Writing Decimals as Percents Course 2 6-2 Fractions, Decimals, and Percents Method 1: Use pencil and paper. 0.7 = 70 100 = 70% Write the decimal as a fraction with a denominator of 100. Write the numerator with a percent sign. 7 10 =

8. Write 0.7 as a percent. Additional Example 1 Continued Course 2 6-2 Fractions, Decimals, and Percents Method 2: Use mental math. 0.70 = = 70% Move the decimal point two places to the right and add a percent sign. 70%

9. Write 0.3 as a percent. Check It Out: Example 1 Course 2 6-2 Fractions, Decimals, and Percents Method 1: Use pencil and paper. 0.3 = 30 100 = 30% Write the decimal as a fraction with a denominator of 100. Write the numerator with a percent sign. 3 10 =

10. Write 0.9 as a percent. Check It Out: Example 1 Continued Course 2 6-2 Fractions, Decimals, and Percents Method 2: Use mental math. 0.90 = = 90% Move the decimal point two places to the right and add a percent sign. 90%

11. Course 2 6-2 Fractions, Decimals, and Percents Write as a percent. 5858 5858 = 5 ÷ 8 =.625 = 62.5% Use division to write the fraction as a decimal. Write the decimal as a percent. Additional Example 2: Writing Fractions as Decimals Method 1: Use pencil and paper. To divide 5 by 8, use long division and place a decimal point followed by a zero after the 5. 8 5.00 Remember!.625

12. Course 2 6-2 Fractions, Decimals, and Percents 5 ● 12.5 8 ● 12.5 Write an equivalent fraction with a denominator of 100. = Write as a percent. 5858 Additional Example 2 Continued Method 2: Use mental math. 62.5 100 Write the numerator with a percent sign. = 62.5%

13. Course 2 6-2 Fractions, Decimals, and Percents Write as a percent. 3535 3535 = 3 ÷ 5 = 0.60 = 60% Use division to write the fraction as a decimal. Write the decimal as a percent. Check It Out: Example 2 Method 1: Use pencil and paper.

14. Course 2 6-2 Fractions, Decimals, and Percents 3 20 5 20 Write an equivalent fraction with a denominator of 100. = Write as a percent. 3535 Check It Out: Example 2 Continued Method 2: Use mental math. 60 100 Write the numerator with a percent sign. = 60%

15. Course 2 6-2 Fractions, Decimals, and Percents Choose the most useful method of computation. Then solve. 27 out of 50 = Using pencil and paper is the best method. Think: 27 ÷ 50 divides evenly. Write the decimal as a percent. Additional Example 3: Choosing a Method of Computation If 27 out of 50 people have the newspaper delivered to their home, what percent of these people have the newspaper delivered to their home? 27 50 = 0.54 = 54% 54% of the people have the newspaper delivered to their home.

16. Course 2 6-2 Fractions, Decimals, and Percents Choose a useful method of computation. Then solve. 10 out of 50 = Mental math or pencil and paper is the best method. Think: The denominator is a multiple of 100. Write the decimal as a percent. Check It Out: Example 3 If 10 out of 50 students have blue backpacks, what percent of the students have blue backpacks? 10 50 = 0.20 = 20% 20% of the students have blue backpacks. 20 100 =

17. Lesson Quiz Insert Lesson Title Here 60% Course 2 6-2 Fractions, Decimals, and Percents 1. Write 0.65 as a percent. 2. Write as a percent. 6 10 Choose the most useful method of computation. Then solve. 65% Calculator; 45% 3. If 36 out of 80 people surveyed have been on a boat, what percent of these people have been on a boat?