Ratios, Rates, and Unit Rates

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What is a ratio?

Back

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 of the ratio by their greatest common divisor (GCD).

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What is a rate?

Back

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

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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 60 miles per hour (60 miles for 1 hour).

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If the ratio of yellow to green votes is 2:18, what is the simplified ratio?

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The simplified ratio is 1:9.

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In a bag of marbles with 3 blue, 2 red, and 5 yellow marbles, what is the ratio of blue to total marbles?

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The ratio of blue to total marbles is 3:10.

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If Kim makes 8 loaves of bread using 12 cups of raisins, what is the unit rate of cups of raisins per loaf?

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The unit rate is 1.5 cups of raisins per loaf.

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What is the ratio of red marbles to yellow marbles in a bag with 2 red and 5 yellow marbles?

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The ratio of red to yellow marbles is 2:5.

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

Back

Divide the total cost by the quantity to find the unit rate.

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If Will spent $3.75 for 3 pounds of granola, what is the cost per pound?

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The cost per pound is $1.25.

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