Ratios, Rates & 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 unit' (e.g., miles per hour).

Front

What is the formula to find miles per gallon (mpg)?

Back

Miles per gallon (mpg) is calculated by dividing the number of miles driven by the number of gallons of gas used.

Front

If a car travels 231 miles using 7 gallons of gas, what is the mileage?

Back

33 miles per gallon.

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 the ratio of books not read to all books if you have 29 books and read 18?

Back

11 : 29.

Front

How do you simplify the ratio 10 dimes to 5 nickels?

Back

The simplified ratio is 2 : 1.

Front

What is the ratio of quarters to dimes if there are 8 quarters and 10 dimes?

Back

4 : 5.

Front

If you have 30 miles in 2 hours, what is the speed in miles per hour?

Back

15 miles per hour.

Front

What does it mean if a rate is equivalent to another rate?

Back

It means that both rates represent the same relationship between the quantities, even if they are expressed differently.