Ratio, Rates, and Proportions

Front

What is a ratio?

Back

A ratio is a comparison of two quantities by division, 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., 4:3), as a fraction (e.g., 4/3), or in words (e.g., 4 to 3).

Front

What is a rate?

Back

A rate is a specific kind of ratio that compares two quantities with different units, such as miles per hour or dollars per pound.

Front

What is a unit rate?

Back

A unit rate is a rate in which the second quantity is one unit, such as 60 miles per hour (60 miles for 1 hour).

Front

What does it mean for two ratios to be proportional?

Back

Two ratios are proportional if they express the same relationship, meaning their cross products are equal.

Front

If 20 comedies are rented and the ratio of comedies to action movies is 4:3, how many action movies were rented?

Back

15 action movies.

Front

How do you find a missing value in a proportion?

Back

You can find a missing value in a proportion by cross-multiplying and solving for the unknown.

Front

What is the formula for finding a unit rate?

Back

To find a unit rate, divide the first quantity by the second quantity, ensuring the second quantity is 1.

Front

What is an example of a real-life ratio?

Back

An example of a real-life ratio is 4 meatballs to 1 cup of sauce.

Front

How can you determine if two ratios are equivalent?

Back

Two ratios are equivalent if they simplify to the same fraction or if their cross products are equal.