Rates, Ratios and Unit Rates

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What is a unit rate?

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A unit rate is a comparison of two different quantities where one of the quantities is expressed as a quantity of one. For example, if a car travels 300 miles in 5 hours, the unit rate is 60 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 quantity of the other item. For example, if you earn $90 for 5 hours of work, divide 90 by 5 to find the unit rate of $18 per hour.

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What is a ratio?

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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 a fraction, with a colon, or with the word 'to'.

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How do you simplify a ratio?

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To simplify a ratio, divide both terms of the ratio by their greatest common divisor (GCD). For example, the ratio 8:12 can be simplified to 2:3 by dividing both terms by 4.

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What is the difference between a ratio and a rate?

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A ratio compares two quantities of the same kind, while a rate compares two quantities of different kinds. For example, speed (miles per hour) is a rate, while the ratio of boys to girls in a class is a ratio.

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What is a proportion?

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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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How do you solve a proportion?

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

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What is the unit rate of 440 miles in 8 hours?

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The unit rate is 55 miles per hour, calculated by dividing 440 miles by 8 hours.

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What is the ratio of flames to arms on a candle if there are 3 flames and 2 arms?

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The ratio of flames to arms is 3:2.

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How do you find the unit rate of words typed per minute?

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To find the unit rate of words typed per minute, divide the total number of words by the total number of minutes. For example, if Brian typed 300 words in 10 minutes, the unit rate is 30 words per minute.