Unit Rates & Complex Fractions

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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 you buy 5 pounds of concrete for $40, the unit rate is $8 per pound.

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How do you calculate a unit rate?

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To calculate a unit rate, divide the total quantity by the number of units. For example, if you earn $200 for 8 hours of work, the unit rate is $200 ÷ 8 = $25 per hour.

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What is a complex fraction?

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A complex fraction is a fraction where the numerator, the denominator, or both contain fractions. For example, (1/2)/(3/4) is a complex fraction.

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How do you simplify a complex fraction?

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To simplify a complex fraction, multiply the numerator and the denominator by the least common denominator (LCD) of the fractions involved.

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What is the unit price?

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The unit price is the cost per single unit of a product, allowing for easy comparison between different products. For example, if Sargento cheese slices cost $2.48 for 10 slices, the unit price is $2.48 ÷ 10 = $0.248 per slice.

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How do you find the better deal between two products?

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To find the better deal, calculate the unit price for each product and compare them. The product with the lower unit price is the better deal.

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If Sasha mows 3/8 of an acre in 3/4 of an hour, how do you find the acres mowed per hour?

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To find acres mowed per hour, divide the amount mowed by the time taken: (3/8) ÷ (3/4) = (3/8) * (4/3) = 1/2 acres per hour.

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What is the formula for calculating unit rate in terms of money?

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Unit rate in terms of money can be calculated using the formula: Unit Rate = Total Cost ÷ Total Quantity.

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What does it mean to simplify a fraction?

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To simplify a fraction means to reduce it to its lowest terms, where the numerator and denominator have no common factors other than 1.

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How do you convert a complex fraction to a simple fraction?

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To convert a complex fraction to a simple fraction, multiply the numerator by the reciprocal of the denominator.