Ratios, Rates, Unit Rates

Front

What is a ratio?

Back

A ratio is a comparison of two quantities by division, showing how many times one value contains or is contained within the other.

Front

What is a rate?

Back

A rate is a specific kind of ratio that compares two different kinds of quantities, often expressed as a quantity per unit of another quantity.

Front

What is a unit rate?

Back

A unit rate is a rate in which the second quantity is 1. It tells you how much of one quantity corresponds to one unit of another quantity.

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 6 tickets cost $75, the unit rate is $75 ÷ 6 = $12.50 per ticket.

Front

What is the unit rate of 36 math questions in 12 minutes?

Back

The unit rate is 36 questions ÷ 12 minutes = 3 questions per minute.

Front

If Mrs. Darling drives 280 miles in 4 hours, what is her speed in miles per hour?

Back

Her speed is 280 miles ÷ 4 hours = 70 miles per hour.

Front

How do you express a ratio of 15 red buttons to 12 blue buttons?

Back

The ratio can be expressed as 15:12, 15 to 12, or as a fraction 15/12.

Front

Which of the following is an incorrect ratio for 15 red buttons to 12 blue buttons?

Back

The incorrect ratio is 12:15, which is the inverse of the correct ratio.

Front

What is the cost of 1 bottle of Gatorade if 18 bottles cost $9.36?

Back

The cost of 1 bottle is $9.36 ÷ 18 = $0.52.

Front

How do you calculate a unit rate from a given quantity?

Back

To calculate a unit rate, divide the total quantity by the number of units. For example, if you have 100 miles in 2 hours, the unit rate is 100 miles ÷ 2 hours = 50 miles per hour.