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Mastering Percentages: Fractions, Decimals, and Applications

Dive into the world of percentages with real-world examples, including converting fractions to percents and vice versa. Practice various scenarios to enhance your understanding in a fun and interactive way.

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Mastering Percentages: Fractions, Decimals, and Applications

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  1. Splash Screen

  2. Five-Minute Check (over Chapter 6) Then/Now New Vocabulary Key Concept: Percent Example 1: Percents as Fractions Example 2: Less Than 1% or Greater Than 100% Example 3: Fractions as Percents Example 4: Real World Example: Fractions as Percents Example 5: Real-World Example: Rounding Percents Lesson Menu

  3. A. B. C. D. Express the ratio 18 out of 24 students as a fraction in simplest form. 5-Minute Check 1

  4. A. B. C. D. Express the ratio 8 baskets out of 14 tries as a fraction in simplest form. 5-Minute Check 2

  5. A. 10.5 B. 13 C. 18 D. 21 5-Minute Check 3

  6. A. 45 B. 37 C. 35 D. 23 5-Minute Check 4

  7. The elementary school has 22 classrooms for 435 students. The middle school has 37 classrooms for 814 students. Which school has the least number of students per classroom? A. elementary; 19.8 students/classroom B. elementary;23.4 students/classroom C. middle; 22 students/classroom D. middle; 24 students/classroom 5-Minute Check 5

  8. You have already converted fractions and decimals. (Lesson 3–1) • Express percents as fractions. • Express fractions as percents. Then/Now

  9. percent Vocabulary

  10. Concept

  11. Percents as Fractions A.Write 40% as a fraction in simplest form. Definition of percent Simplify Answer: Example 1 A

  12. B. Definition of percent Simplify. Answer: Percents as Fractions Example 1 B

  13. A. B. C. D. A. Write 35% as a fraction in simplest form. Example 1 CYP A

  14. B. Write % as a fraction in simplest form. A. B. C. D. Example 1 CYP B

  15. Multiply by to eliminatethe decimal in the numerator. Less Than 1% or Greater Than 100% A.Write 0.3% as a fraction in simplest form. Answer: Example 2 A

  16. Less Than 1% or Greater Than 100% B.Write 104% as a fraction in simplest form. Answer: Example 2 B

  17. A. B. C. D. A. Write 0.8% as a fraction in simplest form. Example 2 CYP A

  18. A. B. C. D. B. Write 160% as a fraction in simplest form. Example 2 CYP B

  19. A. Write as a percent. or 95% 19 ___ 20 Fractions as Percents Write an equivalent fraction with a denominator of 100. Then write the fraction as a percent. Answer: 95% Example 3 A

  20. B. Fractions as Percents Answer: 160% Example 3 B

  21. A. A. 68% B. 4.25% C. 0.68% D. 85% Example 3 CYP A

  22. B. A. B. C. D. Example 3 CYP B

  23. Cross products Multiply. Divide each side by 16. Simplify. Fractions as Percents GAMESDuring the soccer season, the Delta Cougars won 12 of their 16 games. Find the Cougars wins as a percent. Example 4

  24. Answer: The Cougars won 75% of their games. Fractions as Percents Example 4

  25. Amy got 17 questions correct out of 20 on a test. What percent did she get right? A. 75% B. 80% C. 85% D. 90% Example 4

  26. , Estimate Cross products Multiply. Rounding Percents CLUBSAfter a survey, Deion discovered that 8 out of 14 eighth graders at his school participate in a club activity. Find the percent of eighth graders that participate in a club. Round to the nearest hundredth. Example 5

  27. Divide each side by 14. Simplify. Check for Reasonableness 57.14% is close to the estimate of 50%.  Rounding Percents Answer: So, about 57.14% of eighth graders participatein a club activity. Example 5

  28. HEIGHT In Eliza’s math class, 8 out of 23 students are taller than Eliza. To the nearest hundredth, what percent of the students are taller than Eliza? A. 28.75% B. 31.72% C. 34.78% D. 38.49% Example 5

  29. End of the Lesson

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