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

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

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

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

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

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

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

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

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

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

Example 5-3a Write as a percent using proportions. X Ask “what is being done to the variable?” Multiply 16  100 3/5 Cross multiply Bring down 25x 25x25x = 16(100) 25x =25x = 1,600 The variable is being multiplied by 25 Do the inverse on both sides of the equal sign

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

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

Example 5-4a Write 22% as a fraction in simplest form. Since percent refers to 100, use 100 as the denominator Write problem22% Remove % sign 4/5 Find the GCF

Example 5-4a Write 22% as a fraction in simplest form.  2 2  2 2 Divide numerator by GCF of 222% Divide denominator by GCF of 2 Answer: 4/5 GCF = 2

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

Example 5-5a RECREATION The 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? Fraction is part over whole 5/5 What fraction prefer hiking Hiking is the part

Example 5-5a RECREATION The 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? Add all categories to get the whole for denominator 5/5 What fraction prefer hiking =

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

Example 5-5b SPORTS Each 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? Answer: * 5/

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