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Ratios We are going to • Write ratios as fractions (in simplest form) • Find Unit Rates Ratio Example We are going to mix paint to get the correct shade. I am going to mix 2 parts sky blue and 4 parts green I can write this ratio 3 ways A ratio is a comparison of two numbers using division. 2 to 4 2:4 2/4 So we can reduce this ratio to 1 to 2, 1:2 or 1/2 Another Example I went fishing and caught 12 bass. Of these bass, 8 were brown bass. What was the ratio of brown bass to total bass caught (in simplest form)? The ratio is 8 small mouth to the total of 12 bass 8 2 12 3 For every 3 bass caught, 2 were brown bass Compare Footballs to Baseballs Write a ratio that compares the number of footballs to the number of baseballs. footballs 4 2 6 3 baseballs 2 to 3, or 2:3 Compare Part To Whole Write a ratio that compares the number of cupcakes to the total number of snacks. cupcakes snacks 1 4 3 12 Or 1 of 3 or 1:3 Unit Rates A rate is a ratio of two measurements having different kinds of units 100 miles in 5 seconds $5 for 2 pounds When a rate is simplified such that the denominator is 1, it is called a unit rate. Calculating Unit Rate Given a ratio as a fraction, divide the numerator by the denominator to get a decimal answer. MUST give the units for a unit rate! $17 for 5 CDs 34 miles in 2.8 hours Divide $17.00 by 5 You will get $3.40 for 1 CD 34 2.8 12.1 miles per hour (mph) 18 homework assignments in 3 weeks Your Turn Express each ratio in simplest form 1. 4 goals in 10 shot attempts 2. 15 dimes out of 25 coins Express each ratio as a unit rate (MUST have units on answer) 1. $24 for 4 concert tickets 3. 100 feet in 10 seconds 2. 12 inches of snow in 6 hours 4. 50 miles on 2 gallons Homework Homework page 371 #3 through 18 evens We will do #3 together – these are the ratio problems Copy exactly as on overhead The unit rate problems are on: page 376 #10 through 24 evens. We will do #5 together as an example. Remember to show your work include unit measurement such as per inch.