Ratios, Rates, and 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

How do you express a ratio?

Back

Ratios can be expressed in three ways: as a fraction (e.g., 4/3), with a colon (e.g., 4:3), or in words (e.g., '4 to 3').

Front

What is a rate?

Back

A rate is a specific kind of ratio that compares two quantities with different units, such as speed (miles per hour) or price (cost per item).

Front

What is a unit rate?

Back

A unit rate is a rate in which the second quantity is one unit, allowing for easy comparison (e.g., $0.20 per diaper).

Front

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

Back

To find the unit rate, divide the total cost by the number of items (e.g., $6.99 for 35 diapers: $6.99 ÷ 35 = $0.20 per diaper).

Front

What is the ratio of red apples to green apples if there are 4 red apples and 3 green apples?

Back

The ratio of red apples to green apples is 4:3.

Front

How do you calculate the pages written per hour?

Back

To calculate pages per hour, divide the total pages by the total hours (e.g., 5 ¼ pages in 3 hours: 5.25 ÷ 3 = 1.75 pages per hour).

Front

What is the speed range of a cheetah?

Back

A cheetah can run at speeds between 68 to 75 miles per hour.

Front

What is the difference between a ratio and a rate?

Back

A ratio compares two quantities of the same kind, while a rate compares two quantities of different kinds.

Front

How can you simplify a ratio?

Back

To simplify a ratio, divide both terms by their greatest common divisor (GCD).