Unit Rate, Fractional Unit Rates, and Comparing Rates

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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 one unit. For example, if a car travels 300 miles in 5 hours, the unit rate is 60 miles per hour.

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How do you calculate a unit rate?

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To calculate a unit rate, divide the quantity of one item by the quantity of another item. For example, if you earn $20 for 3 hours of work, the unit rate is $20 ÷ 3 hours = $6.67 per hour.

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What is a fractional unit rate?

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A fractional unit rate is a unit rate that is expressed as a fraction. For example, if you buy 3 pounds of apples for $4.50, the unit rate is $4.50 ÷ 3 = $1.50 per pound.

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How do you compare unit rates?

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To compare unit rates, calculate the unit rate for each option and then compare the values. The option with the lower unit rate is usually the better deal.

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What is a ratio?

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A ratio is a relationship between two quantities, showing how many times one value contains or is contained within the other. For example, the ratio of 4 red apples to 3 green apples is written as 4:3.

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How do you express a ratio?

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A ratio can be expressed in three ways: using a colon (4:3), as a fraction (4/3), or in words (4 to 3).

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What is the unit price?

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The unit price is the cost per single unit of measure, such as price per ounce or price per item. It helps consumers compare prices effectively.

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How do you find the unit price?

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To find the unit price, divide the total price by the number of units. For example, if a box of cereal costs $3.68 for 17 ounces, the unit price is $3.68 ÷ 17 = $0.216 per ounce.

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What is the better deal: $6.97 for 120 crayons or $1.53 for 24 crayons?

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To find the better deal, calculate the unit price for each. Crayola: $6.97 ÷ 120 = $0.058 per crayon; Rose Art: $1.53 ÷ 24 = $0.064 per crayon. Crayola is the better deal.

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What is the better deal: Cheerios for $3.68 for 17 oz. or Apple Jacks for $2.89 for 13 oz.?

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Calculate the unit price: Cheerios: $3.68 ÷ 17 = $0.216 per oz.; Apple Jacks: $2.89 ÷ 13 = $0.222 per oz. Cheerios is the better deal.