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Ratios and Rates What is a ratio? A ratio is a comparison of two numbers by division. The ratio of the number 2 to the number 3 can be written in these three ways: 2 to 3, 2:3, or 2/3. Ratios are often expressed as fractions in simplest form or as decimals. Time for practice! Express each ratio or rate as a fraction in the simplest form. 1. 2. 3. 4. 5. 6. 10:35 60:20 3 to 39 8 out of 14 18 boys to 15 girls 16 blue to 4 green What is a rate? A rate is a special ratio that compares two measurements with different units of measure, such as miles per gallon or cents per pound. A rate with a denominator of 1 is called a unit rate. Time for Practice! Express each ratio as a unit rate. 294 miles on 10 gallons $0.72 for 12 ounces $3.88 for 2 pounds 3.4 inches of rain in 2 months 200 meters in 23.5 seconds $21 for a half dozen roses Find the following ratios by polling students in our classroom: Boys vs. girls in the classroom Brown eyes vs. blue/green eyes Students who like math vs. those who do not Students wearing jeans vs. another type of pant/shorts Students with pierced ears vs. not pierced