Unit Rates and Complex Fractions

Front

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 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 price?

Back

To calculate a unit price, divide the total price by the number of units. For example, if a pack of 10 slices of cheese costs $2.48, the unit price is $2.48 ÷ 10 = $0.248 per slice.

Front

What is a complex fraction?

Back

A complex fraction is a fraction that has a fraction in its numerator, denominator, or both. 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 a dog eats 1/3 of a bag of food in 1/2 week, how do you find the unit rate in bags per week?

Back

To find the unit rate, divide the amount of food eaten by the time taken. Here, (1/3) ÷ (1/2) = (1/3) * (2/1) = 2/3 bags per week.

Front

What is the formula for calculating miles per gallon?

Back

The formula for calculating miles per gallon is: Miles Driven ÷ Gallons Used.

Front

If Mrs. Martin can grade 9/6 tests in 1/12 hour, how do you find her unit rate in tests per hour?

Back

To find the unit rate, divide the number of tests by the time taken. Here, (9/6) ÷ (1/12) = (9/6) * (12/1) = 18 tests per hour.

Front

What is the unit price of Velveeta cheese slices if they cost $3.18 for 12 slices?

Back

The unit price is $3.18 ÷ 12 = $0.265 per slice.

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

Back

Calculate the unit price for each option and compare them. The option with the lower unit price is the better deal.

Front

What is the unit rate of 256 miles driven with 8 gallons of gas?

Back

The unit rate is 256 miles ÷ 8 gallons = 32 miles per gallon.