Unit Rates Review

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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 one unit. For example, if you can buy 3 apples for $1.50, the unit rate is $0.50 per apple.

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How do you calculate the unit price of an item?

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To calculate the unit price, divide the total cost by the number of items. For example, if 9 candy bars cost $13.50, the unit price is $13.50 ÷ 9 = $1.50 per candy bar.

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

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To find the rate, divide the area mowed by the time taken. Here, (3/8) ÷ (3/4) = (3/8) * (4/3) = 1/2 acre per hour.

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What is the formula to calculate miles per gallon (mpg)?

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The formula to calculate miles per gallon is: mpg = total miles driven ÷ total gallons of gas used.

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If a car drives 231 miles using 7 gallons of gas, what is the mileage?

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Using the formula, mpg = 231 miles ÷ 7 gallons = 33 miles per gallon.

Front

What is a complex fraction?

Back

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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If Alycia earned $20.40 in 3 hours, how do you find her hourly rate?

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To find the hourly rate, divide the total earnings by the number of hours: $20.40 ÷ 3 hours = $6.80 per hour.

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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 that compares a quantity to one unit of another quantity, making it easier to understand and compare different rates.

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How can you express a rate in different units?

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To express a rate in different units, you can multiply or divide by conversion factors. For example, to convert miles per hour to feet per second, multiply by 5280 feet/mile and divide by 3600 seconds/hour.