Unit Rates with Decimals

Front

What is a unit rate?

Back

A unit rate is a ratio that compares a quantity to one unit of another quantity, often expressed as 'per' something, like miles per hour or eggs per chicken.

Front

How do you calculate a unit rate?

Back

To calculate a unit rate, divide the quantity by the number of units. For example, if 12 chickens lay 30 eggs, the unit rate is 30 eggs ÷ 12 chickens = 2.5 eggs per chicken.

Front

What does it mean for a ratio to be simplified completely?

Back

A ratio is simplified completely when there are no common factors between the two numbers other than 1. For example, 5:6 is completely simplified.

Front

What is the difference between a ratio and a rate?

Back

A ratio compares two quantities, while a rate is a specific type of ratio that compares two quantities with different units, such as speed (miles per hour).

Front

If you drove 357 miles in 5 hours, how do you find the speed in miles per hour?

Back

To find the speed, divide the total distance by the total time: 357 miles ÷ 5 hours = 71.4 miles per hour.

Front

What is an example of a rate?

Back

An example of a rate is 13 miles per hour, which compares distance to time.

Front

How can you tell if a ratio is simplified?

Back

A ratio is simplified if the greatest common factor of the two numbers is 1. For example, 3:6 can be simplified to 1:2.

Front

What is the unit rate of 15 apples for 3 dollars?

Back

The unit rate is 15 apples ÷ 3 dollars = 5 apples per dollar.

Front

If a car travels 240 miles in 4 hours, what is the unit rate in miles per hour?

Back

The unit rate is 240 miles ÷ 4 hours = 60 miles per hour.

Front

What is the unit rate of 100 calories burned in 25 minutes?

Back

The unit rate is 100 calories ÷ 25 minutes = 4 calories per minute.