Unit Rates and Comparing Unit 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 a quantity of one. For example, if you travel 60 miles in 2 hours, the unit rate is 30 miles per hour.

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How do you calculate a unit rate from a fraction?

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To calculate a unit rate from a fraction, divide the numerator by the denominator and then multiply by the appropriate factor to express it per one unit. For example, for 5/8 pages in 2/3 minutes, calculate (5/8) ÷ (2/3) = (5/8) * (3/2) = 15/16 pages per minute.

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What is the formula to find the price per unit?

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The formula to find the price per unit is: Price per unit = Total price / Number of units. For example, if you pay $15 for 6 gallons, the price per gallon is $15 / 6 = $2.50.

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How do you compare unit prices to determine the better deal?

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To compare unit prices, calculate the unit price for each option and then compare these values. The option with the lower unit price is the better deal.

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What is an example of a unit rate in a real-world context?

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An example of a unit rate in a real-world context is the speed of a car, such as 60 miles per hour, which indicates how many miles the car travels in one hour.

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What does it mean if a rate is not a unit rate?

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If a rate is not a unit rate, it means that the comparison is not expressed per one unit. For example, '27 sandwiches in 3 weeks' is not a unit rate because it does not express the number of sandwiches per one week.

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How can you convert a complex fraction to a unit rate?

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To convert a complex fraction to a unit rate, simplify the fraction by dividing the numerator by the denominator, and then express the result in terms of one unit.

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What is the significance of unit rates in everyday decision-making?

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Unit rates help consumers make informed decisions by allowing them to compare prices and values of different products or services effectively.

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How do you determine the better buy between two products?

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

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What is the unit price of an item?

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The unit price of an item is the cost of one unit of that item, calculated by dividing the total price by the number of units.