Unit Rates with Fractions & Decimals

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What is a unit rate?

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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 60 miles in 1 hour, the unit rate is 60 miles per hour.

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How do you find the unit rate from a fraction?

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To find the unit rate from a fraction, divide the numerator by the denominator and then divide by the total time or quantity. For example, for 3/4 gallon in 2 hours, the unit rate is (3/4) ÷ 2 = 3/8 gallon per hour.

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What is the unit rate of 240 miles in 4 hours?

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The unit rate is 240 miles ÷ 4 hours = 60 miles per hour.

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How do you compare unit rates?

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To compare unit rates, calculate the unit rate for each quantity and then compare the results. The higher the unit rate, the more efficient the rate.

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What is the unit rate of flour used per cookie if 2 1/2 cups are used for 12 cookies?

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The unit rate is (2 1/2 cups) ÷ 12 cookies = 1/6 cup of flour per cookie.

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If a recipe requires 3/4 cup of sugar for 6 cupcakes, what is the unit rate of sugar per cupcake?

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The unit rate is (3/4 cup) ÷ 6 cupcakes = 1/8 cup of sugar per cupcake.

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What is the unit rate of 3/4 of a pound in 1 hour?

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The unit rate is 3/4 pound per hour.

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What is the unit rate of 1/2 of a pound in 45 minutes?

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To find the unit rate, convert 45 minutes to hours: 45 minutes = 0.75 hours. Then, the unit rate is (1/2 pound) ÷ 0.75 hours = 2/3 pound per hour.

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How do you convert minutes to hours for unit rate calculations?

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To convert minutes to hours, divide the number of minutes by 60. For example, 45 minutes ÷ 60 = 0.75 hours.

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

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Unit rates help compare different quantities and make informed decisions, such as determining the best price per item or the fastest speed.