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What is a unit rate?

Back

A unit rate is a comparison of two different quantities where one of the quantities is expressed as a quantity of one. For example, if a car travels 300 miles in 5 hours, the unit rate is 60 miles per hour.

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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 with fractions?

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To calculate a unit rate with fractions, divide the numerator by the denominator of the fraction to find the rate per one unit of the other quantity. For example, if you have 3/4 of a gallon of paint that covers 1/2 of a wall, the unit rate is (3/4) ÷ (1/2) = 3/2 or 1.5 gallons per wall.

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CCSS.6.RP.A.1

CCSS.6.RP.A.2

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What is the formula for finding the unit rate?

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The formula for finding the unit rate is: Unit Rate = Total Quantity / Number of Units.

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CCSS.6.RP.A.1

CCSS.6.RP.A.2

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If Lauren bikes 4/3 miles in 1/10 hour, how do you find the time it takes to bike one mile?

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To find the time it takes to bike one mile, divide the time by the distance: (1/10 hour) ÷ (4/3 miles) = (1/10) * (3/4) = 3/40 hours.

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CCSS.7.RP.A.1

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What is the significance of unit rates in real-life applications?

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Unit rates are significant in real-life applications as they help compare different rates, such as speed, cost per item, or efficiency, making it easier to make informed decisions.

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CCSS.6.RP.A.3B

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How can you convert a fraction to a unit rate?

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To convert a fraction to a unit rate, divide the numerator by the denominator and express the result as a rate per one unit.

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CCSS.6.RP.A.1

CCSS.6.RP.A.2

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What is an example of a unit rate involving money?

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An example of a unit rate involving money is if a store sells 3 apples for $1.50, the unit rate is $0.50 per apple.

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CCSS.6.RP.A.1

CCSS.6.RP.A.2

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How do you simplify a fraction to find a unit rate?

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To simplify a fraction, divide both the numerator and the denominator by their greatest common divisor (GCD). This helps in finding the unit rate more easily.

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CCSS.6.RP.A.1

CCSS.6.RP.A.2

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What is the relationship between unit rates and ratios?

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Unit rates are a specific type of ratio where one of the quantities is normalized to one unit, allowing for easier comparison.

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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 when given a complex fraction?

Back

To find the unit rate from a complex fraction, simplify the fraction first, then divide the numerator by the denominator to express it as a unit rate.