Writing & simplifying ratios (w/ measurements) 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

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?

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A unit rate is a ratio that compares a quantity to one unit of another quantity.

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CCSS.6.RP.A.1

CCSS.6.RP.A.2

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Convert 800 centimeters to meters. (1 meter = 100 centimeters)

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8 meters.

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CCSS.5.MD.A.1

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Convert 10 yards to feet. (1 yard = 3 feet)

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30 feet.

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CCSS.2.MD.A.2

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How many yards are in 168 feet? (1 yard = 3 feet)

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56 yards.

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CCSS.5.MD.A.1

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What is the ratio of school apps to game apps if Kelly has 5 school apps and 3 game apps?

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5 to 3.

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CCSS.6.RP.A.1

CCSS.6.RP.A.2

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What is the formula to convert centimeters to meters?

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Divide the number of centimeters by 100.

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CCSS.2.MD.A.2

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If a car travels 150 miles in 3 hours, what is the unit rate in miles per hour?

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50 miles per hour.

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CCSS.6.RP.A.1

CCSS.6.RP.A.2

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What is the ratio of 12 apples to 8 oranges?

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3 to 2 (after simplification).

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CCSS.6.RP.A.1

CCSS.6.RP.A.2