Rates & Ratios

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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

CCSS.6.RP.A.2

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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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CCSS.6.RP.A.1

CCSS.6.RP.A.2

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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 item.

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CCSS.6.RP.A.1

CCSS.6.RP.A.2

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How do you calculate a unit rate?

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To calculate a unit rate, divide the quantity by the number of units. For example, if you travel 60 miles in 2 hours, the unit rate is 60 miles / 2 hours = 30 miles per hour.

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CCSS.6.RP.A.1

CCSS.6.RP.A.2

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If Jack jumps 40 times in 4 minutes, how many times does he jump in 1 minute?

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10 times.

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CCSS.6.RP.A.3B

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Lynnette washes 95 cars in 5 days. How many cars does she wash each day?

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19 cars per day.

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CCSS.3.OA.A.3

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Alicia drove 182.4 miles in 3 hours. What is her speed in miles per hour?

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60.8 miles per hour.

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CCSS.6.NS.B.3

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Ken can walk 40 dogs in 8 hours. How many dogs can he walk in one hour?

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5 dogs per hour.

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CCSS.6.RP.A.1

CCSS.6.RP.A.2

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Luke paints 91 portraits in 7 weeks. How many portraits does he paint each week?

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13 portraits per week.

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CCSS.3.OA.A.2

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What is the formula for calculating a rate?

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Rate = Total Quantity / Time.

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CCSS.6.RP.A.1

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