Ratios and Rates 10/7/25

Front

What is a ratio?

Back

A ratio is a comparison of two quantities, showing how many times one value contains or is contained within the other.

Front

How do you write a ratio?

Back

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

Front

What is a rate?

Back

A rate is a specific kind of ratio that compares two different units, such as miles per hour or price per item.

Front

How do you calculate a ratio of part to whole?

Back

To calculate a part to whole ratio, divide the part by the whole and simplify if necessary.

Front

If there are 15 boys out of 23 students, what is the part to whole ratio of boys to total students?

Back

The part to whole ratio is 15:23.

Front

What is the formula to calculate miles per gallon?

Back

Miles per gallon = Total miles driven / Total gallons of gas used.

Front

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

Back

The mileage is 33 miles per gallon.

Front

What does it mean for two rates to be equivalent?

Back

Two rates are equivalent if they represent the same relationship between the two quantities.

Front

Which rate is equivalent to 15 miles per hour?

Back

30 miles in 2 hours is equivalent to 15 miles per hour.

Front

What is a part to part ratio?

Back

A part to part ratio compares one part of a group to another part of the same group.