Ratios, Rates and Unit Rates

Front

What is a ratio?

Back

A ratio is a comparison of two quantities that shows the relative size of one quantity to another, often expressed as 'a to b' or a:b.

Front

What is a rate?

Back

A rate is a specific kind of ratio that compares two 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. For example, if a car travels 120 miles in 2 hours, the unit rate is 60 miles per hour.

Front

How do you calculate a unit rate?

Back

To calculate a unit rate, divide the first quantity by the second quantity. For example, if you have 150 words typed in 3 minutes, the unit rate is 150 ÷ 3 = 50 words per minute.

Front

What is the unit rate of 567 miles in 9 hours?

Back

63 mph.

Front

If Justin can type 408 words in 4 minutes, how many words can he type per minute?

Back

102 words per minute.

Front

How do you find the cost per item in a box of diapers?

Back

Divide the total cost by the number of items. For example, if a box of 35 diapers costs $6.99, the cost per diaper is $6.99 ÷ 35 = $0.20.

Front

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

Back

4 red apples to 3 green apples.

Front

What is a simplified ratio?

Back

A simplified ratio is a ratio that has been reduced to its simplest form, where the two quantities have no common factors other than 1.

Front

What is the simplified ratio of triangles to total shapes if there are 3 triangles and 5 total shapes?

Back

1:2.