Ratios, Rates, & Proportions

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What is a ratio?

Back

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

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CCSS.6.RP.A.1

CCSS.6.RP.A.2

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How do you simplify a ratio?

Back

To simplify a ratio, divide both terms by their greatest common factor (GCF).

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CCSS.6.RP.A.1

CCSS.6.RP.A.2

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What is a unit rate?

Back

A unit rate is a rate in which the second quantity is 1. For example, if you travel 60 miles in 1 hour, the unit rate is 60 miles/hour.

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CCSS.6.RP.A.1

CCSS.6.RP.A.2

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How do you convert a rate to a unit rate?

Back

To convert a rate to a unit rate, divide the first quantity by the second quantity.

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CCSS.6.RP.A.1

CCSS.6.RP.A.2

Front

What is the simplest form of the ratio 2 meters to 76 centimeters?

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50:19.

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CCSS.6.RP.A.1

CCSS.6.RP.A.2

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How do you determine the better deal between two options?

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Calculate the unit price for each option and compare them. The lower unit price is the better deal.

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CCSS.6.RP.A.3B

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What is the unit rate for 31.20 for 15 gallons of gas?

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$2.08/gallon.

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CCSS.6.RP.A.1

CCSS.6.RP.A.2

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What is the simplest form of the ratio 12 feet to 9 yards?

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4:9.

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CCSS.6.RP.A.1

CCSS.6.RP.A.2

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How do you find the unit rate for distance traveled over time?

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Divide the total distance by the total time.

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CCSS.6.RP.A.1

CCSS.6.RP.A.2

Front

What is the unit rate for 476 miles in 8 hours?

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59.5 miles/hour.

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CCSS.6.RP.A.1

CCSS.6.RP.A.2