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

Example 5-5b Vocabulary None

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

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:

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

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

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

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%

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

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

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 =

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 = x = 700 Using a fraction bar, divide both sides by Combine “like” terms 1  x = 70

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

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

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)

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 = x = 1200 Using a fraction bar, divide both sides by 5 55 Combine “like” terms 1  x = 240

Example 5-5a Write as a percent. 5x = 5/5 100 x = 12(100) 5x =  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:

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

End of Lesson 5 Assignment Lesson 10:5Percents and Fractions All