Unit Rates

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.

Front

How do you find the unit rate from a total cost?

Back

To find the unit rate from a total cost, divide the total cost by the number of items. For example, if a box of 35 diapers costs $6.99, the unit rate is $6.99 ÷ 35 = $0.20 per diaper.

Front

What is a ratio?

Back

A ratio is a relationship between two numbers indicating how many times the first number contains the second. For example, the ratio of 20 apples in the fridge to 9 apples on the table is 20:9.

Front

How do you calculate a ratio?

Back

To calculate a ratio, divide the first quantity by the second quantity. For example, if there are 20 apples in the fridge and 9 on the table, the ratio is 20 ÷ 9.

Front

What is the formula to find the price per gallon of gas?

Back

The formula to find the price per gallon of gas is: Price per gallon = Total cost ÷ Number of gallons. For example, if it costs $46.80 to fill a 13-gallon tank, the price per gallon is $46.80 ÷ 13 = $3.60.

Front

If a car travels 195 miles in 3 hours, how do you find the speed in miles per hour?

Back

To find the speed in miles per hour, divide the distance by the time. Speed = Distance ÷ Time. For example, 195 miles ÷ 3 hours = 65 miles per hour.

Front

What is the difference between a rate and a unit rate?

Back

A rate is a comparison of two quantities with different units, while a unit rate is a rate where the second quantity is one unit. For example, 60 miles per hour is a unit rate.

Front

How do you express a unit rate as a fraction?

Back

A unit rate can be expressed as a fraction by placing the total quantity in the numerator and the unit quantity in the denominator. For example, if 100 miles is traveled in 2 hours, the unit rate is 100/2 = 50 miles per hour.

Front

What is the unit rate of 22 miles per hour?

Back

The unit rate of 22 miles per hour is simply 22 miles for every 1 hour.

Front

How do you convert a ratio to a fraction?

Back

To convert a ratio to a fraction, write the first quantity as the numerator and the second quantity as the denominator. For example, the ratio 20:9 can be written as the fraction 20/9.