Rates, Ratios, and Unit Rates

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What is a unit rate?

Back

A unit rate is a comparison of two different quantities where one of the quantities is expressed as one unit. For example, if a car travels 150 miles in 3 hours, the unit rate is 50 miles per hour.

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How do you calculate a unit rate?

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To calculate a unit rate, divide the quantity of one item by the number of units of another item. For example, if 14 inches of snow fell in 5 hours, the unit rate is 14 inches ÷ 5 hours = 2.8 inches per hour.

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What is a ratio?

Back

A ratio is a relationship between two numbers indicating how many times the first number contains the second. It can be expressed in various forms, such as fractions, decimals, or with a colon.

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What is an equivalent ratio?

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An equivalent ratio is a ratio that expresses the same relationship between two quantities, even if the numbers are different. For example, 2:3 and 4:6 are equivalent ratios.

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How do you express a ratio in simplest form?

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To express a ratio in simplest form, divide both terms of the ratio by their greatest common factor (GCF). For example, the ratio 8:12 can be simplified to 2:3.

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What is the unit rate of 156 players on 12 teams?

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The unit rate is 156 players ÷ 12 teams = 13 players per team.

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What is the price per ticket if 4 concert tickets cost $252?

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The price per ticket is $252 ÷ 4 tickets = $63.00.

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What is the difference between a rate and a ratio?

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A rate is a specific kind of ratio that compares two quantities with different units, while a ratio compares two quantities with the same unit.

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How can you find the unit rate from a word problem?

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To find the unit rate from a word problem, identify the two quantities being compared, then divide the first quantity by the second quantity to find the rate per one unit.

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What does it mean to have a ratio of 2/3?

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A ratio of 2/3 means that for every 2 parts of one quantity, there are 3 parts of another quantity.