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

A unit rate is calculated by dividing the quantity of one item by the quantity of another item, typically expressed as 'per 1 unit' of the second item.

Front

If a car travels 300 miles in 5 hours, what is the unit rate in miles per hour?

Back

60 miles per hour.

Front

What is the difference between a ratio and a rate?

Back

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

Front

If a recipe calls for 2 cups of flour for every 3 cups of sugar, what is the ratio of flour to sugar?

Back

The ratio of flour to sugar is 2:3.

Front

What is a rate?

Back

A rate is a specific kind of ratio that compares two quantities with different units, such as distance per time.

Front

If a person earns $300 for 10 hours of work, what is the unit rate in dollars per hour?

Back

$30 per hour.

Front

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

Back

Multiply the unit rate by the total number of units to find the total amount.

Front

If a car uses 15 gallons of gas to travel 300 miles, what is the rate of miles per gallon?

Back

20 miles per gallon.

Front

What is the ratio of 4 red apples to 3 green apples?

Back

4 red apples to 3 green apples.