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Ratios and Unit Rates Lesson 6-1 & 6-2

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Ratios A ratio is a comparison between two numbers by division. It can be written in three different ways: 5 to 2 5 : 2 5 2

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Equal Ratios When two ratios name the same number, they are equal. It’s like writing an equivalent fraction. 20 : 30 Equal Ratios: 80 : 120 10 : 15 2 : 3

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**Ratios in Simplest Form**

Ratios can be written in simplest form. Divide both terms in the ratio by their GCF. Example: 12 to 8 3 to 2

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Vocabulary A rate is a ratio that compares two quantities measured in different units. The unit rate is the rate for one unit of a given quantity. Unit rates have a denominator of 1.

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Vocabulary A rate is a ratio that compares two quantities measured in different units. The unit rate is the rate for one unit of a given quantity. Unit rates have a denominator of 1.

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**Examples Rate: 150 heartbeats 2 minutes Unit Rate (Divide to get it):**

150 ÷ 2 = 75 heartbeats per minute.

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Find the Unit Rate Amy can read 88 pages in 4 hours. What is the unit rate? (How many pages can she read per hour?) 88 pages 22 pages / hour 4 hours

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**Using Unit Rates You can find the missing terms of equal ratios.**

Use the unit rate, and set it equal to another ratio. Solve for what is missing by dividing or multiplying.

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Example Joe’s car goes 25 miles per gallon of gasoline. How far can it go on 8 gallons of gasoline? x 8 25 miles = Unit Rate 1 gallon 8 gallons x 8 25 x 8 = Joe’s car can go 200 miles on 8 gallons of gas.

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Comparing Unit Prices Use division to find the unit prices of the two products in question. The unit rate that is smaller (costs less) is the better value.

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Example Juice is sold in two different sizes. A 48-fluid ounce bottle costs $ A 32-fluid ounce bottle costs $ Which is the better buy? $2.07 $0.04 per fl.oz. 48 fl.oz. $1.64 $0.05 per fl.oz. 32 fl.oz. The 48 fl.oz. bottle is the better value.

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**Classwork: Check out this interactive for ratios and unit rates**

Classwork: Check out this interactive for ratios and unit rates. You can click on lessons, interactives, or applications. Try it at BRAINCAMP Homework Time: 6-1 and 6-2 Handout

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