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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.

Front

How do you calculate the unit price of an item?

Back

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?

Back

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.

Front

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

Back

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?

Back

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.

Front

How do you simplify a complex fraction?

Back

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

Front

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

Back

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

Front

What is the relationship between unit rates and ratios?

Back

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?

Back

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.