Ratios, Rates and Unit Rates

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What is a ratio?

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A ratio is a comparison of two quantities, showing how many times one value contains or is contained within the other.

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CCSS.6.RP.A.1

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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 factor (GCF).

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What is a rate?

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

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CCSS.6.RP.A.1

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What is a unit rate?

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A unit rate is a rate in which the denominator is 1, showing how much of one quantity corresponds to one unit of another quantity.

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CCSS.6.RP.A.1

CCSS.6.RP.A.2

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Calculate the unit rate: 60 miles in 2 hours.

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30 miles per hour.

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If a car travels 231 miles using 7 gallons of gas, what is the mileage in miles per gallon?

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33 miles per gallon.

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CCSS.6.RP.A.1

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Which is the equivalent rate of $9 per hour?

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$27 in 3 hours.

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What is the ratio of 35 to 14 simplified?

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5 to 2.

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CCSS.6.RP.A.1

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If there are 8 green marbles, 3 blue marbles, 7 red marbles, and 2 yellow marbles, what is the ratio of green marbles to all marbles?

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2 to 5.

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CCSS.6.RP.A.1

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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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CCSS.6.RP.A.1

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