1 / 21

Converting Percents to Fractions and Vice Versa

Learn how to convert percents to fractions and fractions to percents with examples and practice problems.

tforbes
Download Presentation

Converting Percents to Fractions and Vice Versa

An Image/Link below is provided (as is) to download presentation Download Policy: Content on the Website is provided to you AS IS for your information and personal use and may not be sold / licensed / shared on other websites without getting consent from its author. Content is provided to you AS IS for your information and personal use only. Download presentation by click this link. While downloading, if for some reason you are not able to download a presentation, the publisher may have deleted the file from their server. During download, if you can't get a presentation, the file might be deleted by the publisher.

E N D

Presentation Transcript

  1. Transparency 5 Click the mouse button or press the Space Bar to display the answers.

  2. Splash Screen

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

  4. Example 5-5b Vocabulary None

  5. 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

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

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

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

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

  10. Example 5-3a LUNCH What fraction of the class members preferred spaghetti for the school lunch? 25% Locate spaghetti on the chart Write the percent of spaghetti as the problem 3/5

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

  12. Example 5-3c ICE CREAM Use the table below. What fraction of the students chose chocolate as their favorite flavor? Answer: 3/5

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

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

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

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

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

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

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

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

  21. End of Lesson 5 Assignment

More Related