Ratios, Rates, & Unit Rates

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What is a ratio?

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A ratio is a comparison of two quantities by division, expressed as 'a to b' or a:b.

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How do you simplify a ratio?

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To simplify a ratio, divide both terms by their greatest common divisor (GCD).

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What is a unit rate?

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A unit rate is a ratio that compares a quantity to one unit of another quantity, often expressed as 'per'.

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How do you find the unit rate from a total quantity?

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To find the unit rate, divide the total quantity by the number of units.

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What is the ratio of red toy cars to all toy cars if there are 3 red cars and 7 other cars?

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The ratio is 3:10.

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If there are 5 boys and 7 girls, what is the ratio of girls to boys?

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The ratio of girls to boys is 7 to 5.

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How do you express a ratio of two different types of objects?

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You express it by comparing the number of each type, such as 'number of type A : number of type B'.

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What is the formula to calculate a unit rate?

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Unit Rate = Total Quantity / Number of Units.

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If 18 orders are completed in 3 days, what is the unit rate of orders per day?

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The unit rate is 6 orders per day.

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What does it mean to express a ratio in simplest form?

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Expressing a ratio in simplest form means reducing it to the smallest whole numbers that maintain the same relationship.

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