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4. Example 5-5b Objective Express percents as fractions and vice versa

5. Example 5-5b Vocabulary None

6. Lesson 5 Contents Example 1Write a Percent as a Fraction Example 2Write a Percent as a Fraction Example 3Write a Percent as a Fraction Example 4Write a Fraction as a Percent Example 5Write a Fraction as a Percent

7. Example 5-1a Write 60% as a fraction in simplest form.  20 1/5 Write the problem 60% Percent refers to 100 so place 100 in the denominator 100 Remove percent sign and place number in numerator 60 Find GCF = 20 Divide GCF into numerator and denominator Answer:

8. Example 5-1b Write 30% as a fraction in simplest form. Answer: 1/5

9. Example 5-2a Write 140% as a fraction in simplest form. Answer: 2/5 Write the problem 140% Percent refers to 100 so place 100 in the denominator 100 Remove percent sign and place number in numerator 140 Since numerator is greater than denominator, simplify on calculator

10. Example 5-2c Write 180% as a fraction in simplest form. Answer: 2/5

11. Example 5-3a LUNCH What fraction of the class members preferred spaghetti for the school lunch? School Lunch Choices LunchPercent pizza30% spaghetti25% hamburger20% chicken strips15% soup10% 3/5 Locate spaghetti on the chart Write the percent of spaghetti as the problem 25%

12. Example 5-3a LUNCH What fraction of the class members preferred spaghetti for the school lunch? 3/5 25% Percent refers to 100 so place 100 in the denominator 100 Remove percent sign and place number in numerator 25 Find GCF = 25 Divide GCF into numerator and denominator  25 Combine “like” terms Answer: Add dimensional analysis prefer spaghetti

13. Example 5-3c ICE CREAM Use the table below. What fraction of the students chose chocolate as their favorite flavor? Students Favorite Ice Cream Flavor FlavorPercent vanilla37% chocolate28% chocolate chip20% Strawberry8% Other7% Answer: 3/5

14. Example 5-4a Write as a percent. Set up a proportion. 10x = First write the fraction 4/5 Write the second ratio from the percent Percent refers to 100 so place 100 in the denominator 100 The percent is unknown so define the variable x Write the cross products in horizontal form 7(100) Place an = sign between the ratios to make a proportion =

15. Example 5-4a Write as a percent. 10x = 4/5 100 x 7(100) = Ask “what is being done to the variable?” The variable is being multiplied by 10 Do the inverse to undo the multiplication Combine “like” terms 10x = 700 Bring down 10x = 700 10x = 700 Using a fraction bar, divide both sides by 10 10 Combine “like” terms 1  x = 70

16. Example 5-4a Write as a percent. 10x = 4/5 100 x 7(100) = Use the Identity Property to multiply 1  x 10x = 700 10 1  x = 70 x = 70Answer: The prompt asked for a percent, so dimensional analysis will be a % sign %

17. Example 5-4b Write as a percent. Answer: x = 40% 4/5

18. Example 5-5a Write as a percent. Set up a proportion. First write the fraction 5x = 5/5 Write the second ratio from the percent Percent refers to 100 so place 100 in the denominator 100 The percent is unknown so define the variable x Place an = sign between the ratios to make a proportion = Write the cross products in horizontal form 12(100)

19. Example 5-5a Write as a percent. 5x = 5/5 100 x = 12(100) Combine “like” terms 5x = 1200 Ask “what is being done to the variable?” The variable is being multiplied by 5 Do the inverse to undo the multiplication Bring down 5x = 1200 5x = 1200 Using a fraction bar, divide both sides by 5 55 Combine “like” terms 1  x = 240

20. Example 5-5a Write as a percent. 5x = 5/5 100 x = 12(100) 5x = 1200 55 1  x = 240 Use the Identity Property to multiply 1  x x = 240 The prompt asked for a percent, so dimensional analysis will be a % sign %Answer:

21. Example 5-5b Answer: x = 225% Write as a percent. * 5/5

22. End of Lesson 5 Assignment Lesson 10:5Percents and Fractions11 - 30 All