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

How do you calculate a unit rate?

Back

To calculate a unit rate, divide the total quantity by the number of units. For example, if you earn $200 for 8 hours of work, the unit rate is $200 ÷ 8 = $25 per hour.

Front

What is a rate?

Back

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

Front

If a box of 35 diapers costs $6.99, what is the unit rate for one diaper?

Back

The unit rate for one 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

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

Front

How do you find the price per item when given the total cost and quantity?

Back

To find the price per item, divide the total cost by the number of items. For example, if 4 concert tickets cost $252, the price per ticket is $252 ÷ 4 = $63.

Front

If Justin can type 408 words in 4 minutes, how do you find his typing speed in words per minute?

Back

To find the typing speed, divide the total words by the total minutes. So, 408 words ÷ 4 minutes = 102 words per minute.

Front

What is the formula for calculating a unit rate?

Back

The formula for calculating a unit rate is: Unit Rate = Total Quantity ÷ Number of Units.

Front

What does it mean if a ratio is simplified?

Back

A simplified ratio means that the numbers in the ratio have been reduced to their smallest whole number form, making it easier to understand.

Front

How can you express a ratio of 10 to 5 in simplest form?

Back

The simplest form of the ratio 10 to 5 is 2:1.