Ratios, Rates and Unit Rates

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What is a ratio?

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A ratio is a comparison of two quantities, showing the relative size of one quantity to another.

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How do you express a ratio?

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A ratio can be expressed in three ways: as a fraction, with a colon (e.g., 4:3), or with the word 'to' (e.g., 4 to 3).

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What is a rate?

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A rate is a specific kind of ratio that compares two different units, such as miles per hour or dollars per hour.

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What is a unit rate?

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A unit rate is a rate in which the second quantity is one unit, such as 25 dollars per hour.

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How do you calculate a unit rate?

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To calculate a unit rate, divide the first quantity by the second quantity to find the amount per one unit of the second quantity.

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If a person earns $200 for 8 hours of work, what is their unit rate?

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The unit rate is $25 per hour.

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What is the equivalent rate of $9 per hour for 3 hours?

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The equivalent rate is $27 in 3 hours.

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What is the ratio of red apples to green apples if there are 4 red apples and 3 green apples?

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The ratio of red apples to green apples is 4:3.

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If there are 2 votes for yellow and 18 votes for green, what is the ratio of votes for yellow to green?

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The ratio of votes for yellow to green is 2:18.

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How can you simplify the ratio 2:18?

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You can simplify the ratio 2:18 to 1:9 by dividing both sides by 2.