Rates/Ratios/Unit Rates REVIEW

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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 single unit. 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 find the unit price of an item?

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To find the unit price, divide the total price by the number of units. For example, if 5 DVDs cost $60, the unit price is $60 ÷ 5 = $12 per DVD.

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What does a ratio represent?

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A ratio represents a relationship between two quantities, showing how many times one value contains or is contained within the other. For example, a ratio of 2:3 means for every 2 of one quantity, there are 3 of another.

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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 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, 1:2, 2:4, and 3:6 are all equivalent ratios.

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How do you convert a ratio to a fraction?

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What is the relationship between ratios and fractions?

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Ratios and fractions both represent a comparison of two quantities. A ratio can be expressed as a fraction, and both can be simplified or compared.

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How do you find the total quantity from a ratio?

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To find the total quantity from a ratio, add the parts of the ratio together and then use the ratio to find the individual quantities. For example, in a ratio of 2:3, the total is 2 + 3 = 5 parts.

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What is a proportion?

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How can you solve a proportion?

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