Ratio, Rates, and Proportions

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What is a ratio?

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A ratio is a comparison of two quantities that shows the relative size of one quantity to another, often 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 comparison of two different quantities when they are combined together, expressed as a quantity per one unit of another quantity.

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How do you find the unit cost?

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To find the unit cost, divide the total cost by the number of units purchased.

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If 15 pizzas cost $97.50, what is the unit cost per pizza?

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$6.50 per pizza.

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What is the formula to find a unit rate?

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Unit Rate = Total Quantity / Number of Units.

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What does it mean if a ratio is 4:3?

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It means for every 4 units of the first quantity, there are 3 units of the second quantity.

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If the ratio of dogs to cats is 4:3 and there are 72 dogs, how many cats are there?

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54 cats.

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How do you convert a ratio into a fraction?

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To convert a ratio into a fraction, write the first quantity as the numerator and the second quantity as the denominator.

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What is the simplified form of the ratio 35:14?

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5:2.

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