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3. Example 5-5b Objective Write fractions as percents and Percents as fractions

4. Example 5-5b Vocabulary Ratio A comparison of two numbers by division

5. Example 5-5b Vocabulary Percent A ratio that compares a number to 100

6. Example 5-5b Review Vocabulary Simplest form A fraction whose numerator and denominator have a greatest common factor (GCF) of 1

7. Lesson 5 Contents Example 1Write Ratios as Percents Example 2Write Ratios as Percents Example 3Write a Fraction as a Percent Example 4Write a Percent as a Fraction Example 5Use Percent to Solve a Problem

8. Answer: Example 5-1a Write the ratio as a percent. Diana scored 63 goals out of 100 attempts. Write ratio Divide numerator by denominator for form a decimal 0.63 63 % Multiply by 100 Add the percent sign 1/5

9. Answer: Example 5-1b Write the ratio as a percent. Alicia sold 34 of the 100 cookies at the bake sale. 1/5

10. Answer: Example 5-2a Write the ratio as a percent. 31.9 out of 100 people bought crunchy peanut butter. Write ratio Divide numerator by denominator for form a decimal 0.319 31.9 % Multiply by 100 Add the percent sign 2/5

11. Answer: Example 5-2b Write the ratio as a percent. 73.4 out of 100 people preferred the chicken instead of the roast beef. 2/5

12. Write as a percent using proportions. Example 5-3a Write fraction as first ratio X Since percent refers to 100, use 100 as the denominator in the second ratio The numerator is unknown so define a variable Write as proportion 3/5

13. Write as a percent using proportions. Example 5-3a Cross multiply X Bring down 25x Multiply 16  100 25x 25x = 16(100) Ask “what is being done to the variable?” 25x = 25x = 1,600 The variable is being multiplied by 25 Do the inverse on both sides of the equal sign 3/5

14. Write as a percent using proportions. Example 5-3a X Bring down 25x = 1,600 Using the fraction bar, divide both sides by 25 25x = 16(100) Combine “like” terms 25x = 1,600 Bring down  x = 25x = 1,600 Combine “like” terms 25 25 Use Identity Property to multiply 1  x 1 1  x = 1  x = 64 x x = 64 x = 64 % Bring down = 64 Add percent sign % Answer: 64% 3/5

15. Write as a percent. Answer: x = Example 5-3b 3/5

16. Example 5-4a Write 22% as a fraction in simplest form. 22% Write problem Remove % sign Since percent refers to 100, use 100 as the denominator Find the GCF 4/5

17. Example 5-4a GCF = 2 Write 22% as a fraction in simplest form. 22% Divide numerator by GCF of 2 Divide denominator by GCF of 2  2  2 Answer: 4/5

18. Answer: Example 5-4b Write 84% as a fraction in simplest form. 4/5

19. Example 5-5a RECREATIONThe graphic shows the most popular outdoor activities according to parents with children ages 4 – 14. What fraction of parents prefer hiking as a favorite outdoor activity? What fraction prefer hiking Fraction is part over whole Hiking is the part 5/5

20. Example 5-5a RECREATIONThe graphic shows the most popular outdoor activities according to parents with children ages 4 – 14. What fraction of parents prefer hiking as a favorite outdoor activity? What fraction prefer hiking Add all categories to get the whole for denominator 13 + 33 + 13 + 33 + 13 + 13 + 33 + 13 + 15 = 13 + 5/5

21. Example 5-5a Find GCF to simplify fraction GCF = 1 so fraction is in the simplest terms Answer: chose hiking 5/5

22. Example 5-5b * SPORTSEach member of the football team is supposed to get playing time in each game. By the end of the third quarter of a game, 17 of the 25 players had already been in the game. What fraction of the players is this? 17 Answer: 25 5/5

23. End of Lesson 5 Assignment