Ratios, Rates & Proportions

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What is a Unit Rate?

Back

A unit rate is a rate that has been simplified to have a denominator of one. It shows how much of one quantity corresponds to one unit of another quantity.

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CCSS.6.RP.A.1

CCSS.6.RP.A.2

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How do you calculate the unit rate of miles per gallon?

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To find the unit rate of miles per gallon, divide the total miles driven by the total gallons of gas used. For example, if you drive 150 miles using 5 gallons, the unit rate is 150 ÷ 5 = 30 miles per gallon.

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CCSS.6.RP.A.1

CCSS.6.RP.A.2

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What is the ratio of boys to girls if there are 13 boys and 10 girls?

Back

The ratio of boys to girls is 13:10.

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CCSS.6.RP.A.1

CCSS.6.RP.A.2

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How do you express a ratio?

Back

A ratio can be expressed in three ways: as a fraction (13/10), with a colon (13:10), or in words (13 to 10).

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CCSS.6.RP.A.1

CCSS.6.RP.A.2

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What is the formula for finding a unit rate?

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The formula for finding a unit rate is: Unit Rate = Total Quantity / Number of Units.

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CCSS.6.RP.A.1

CCSS.6.RP.A.2

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If you have 624 calories in 3 servings, what is the unit rate of calories per serving?

Back

The unit rate is 624 calories ÷ 3 servings = 208 calories per serving.

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CCSS.6.RP.A.1

CCSS.6.RP.A.2

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What is a proportion?

Back

A proportion is an equation that states that two ratios are equal. For example, if a/b = c/d, then a, b, c, and d are in proportion.

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CCSS.7.RP.A.2A

Front

How do you solve a proportion?

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To solve a proportion, you can cross-multiply. For example, if a/b = c/d, then ad = bc.

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CCSS.7.RP.A.2A

Front

What is the difference between a ratio and a rate?

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A ratio compares two quantities, while a rate compares two quantities with different units (e.g., miles per hour).

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CCSS.6.RP.A.3A

Front

If you travel 150 miles on 5 gallons of gas, how many miles do you travel per gallon?

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You travel 150 miles ÷ 5 gallons = 30 miles per gallon.

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CCSS.6.RP.A.1

CCSS.6.RP.A.2