Ratios and Unit Rates Ratio a comparison of

Ratio – a comparison of two quantities by division Ratios can be written in

Examples: • Four out of five dentists surveyed recommend sugarless gum for their patients

In a class of thirty students, thirteen are boys. Write a ratio for the

Out of 100 students, 40 said they had afterschool jobs. Write a ratio for

6 freethrows made out of 10 attempts 6/10 = 3/5 3 to 5 3:

Unit Rate – a rate for “one” of something; a ratio with a denominator

Examples: You need to buy soda for a party. The store sells 3 12

You travel 300 miles in five hours. Find the unit rate per hour. 300/5

Determine which is the better buy: You need to buy pizzas for a class

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Ratios and Unit Rates

Ratio – a comparison of two quantities by division Ratios can be written in three ways: 1) as a fraction in simplest form 2) with the word “ to ” 3) with a colon “ : ”

Examples: • Four out of five dentists surveyed recommend sugarless gum for their patients who chew gum 4 4 to 5 4: 5 5 • 9 people out of 20 like chocolate ice cream 9 9 to 20 9: 20 20

In a class of thirty students, thirteen are boys. Write a ratio for the number of boys to students in the class. 13/30 13 to 30 13: 30 Write a ratio for the number of boys to the number of girls. 13/17 13 to 17 13: 17

Out of 100 students, 40 said they had afterschool jobs. Write a ratio for the number of students who had jobs to the number who did not. 40/60 = 2/3 40 to 60 = 2 to 3 40: 60 = 2: 3

6 freethrows made out of 10 attempts 6/10 = 3/5 3 to 5 3: 5 24 questions correct on a 100 -question test 24/100 = 6/25 6 to 25 6 : 25 5 cookies eaten out of 20 cookies 5/20 = ¼ 1 to 4 1: 4

Unit Rate – a rate for “one” of something; a ratio with a denominator of 1. If three bananas cost $1. 89, how much does one banana cost? $1. 89/3 =. 63/1 banana

Examples: You need to buy soda for a party. The store sells 3 12 -packs for $7. 80. Find the unit rate for one 12 -pack? $7. 80/3 = $2. 60/1

You travel 300 miles in five hours. Find the unit rate per hour. 300/5 = 60 miles/1 hour A girl can jump rope 200 times in 4 minutes. What is the unit rate per minute? 200 / 4 = 50 times/1 minute

Determine which is the better buy: You need to buy pizzas for a class party. You can buy 4 large pizzas for $10. 00, or you can 7 large pizzas for $19. 25. Which is the better buy? $10. 00 / 4 = $2. 50/1 $19. 25 / 7 = $2. 75/1 It is cheaper to buy 4 pizzas.