Ratios and Rates

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 can you express a ratio?

Back

A ratio can be expressed in three ways: using a colon (e.g., 3:2), using the word 'to' (e.g., 3 to 2), or as a fraction (e.g., 3/2).

Front

What is a unit rate?

Back

A unit rate is a ratio that compares a quantity to one unit of another quantity, often expressed as 'per' (e.g., 60 miles per hour).

Front

What is the ratio of 10 dimes to 8 quarters?

Back

The ratio of dimes to quarters is 10:8, which simplifies to 5:4.

Front

If there are 4 red apples and 3 green apples, what is the ratio of red apples to green apples?

Back

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

Front

What does it mean to simplify a ratio?

Back

To simplify a ratio means to reduce it to its lowest terms by dividing both quantities by their greatest common factor.

Front

What is the ratio of 5 cats to 10 dogs?

Back

The ratio of cats to dogs is 5:10, which simplifies to 1:2.

Front

Which of the following is a unit rate: 4 dogs, 1 yard, 0.3 miles per minute, or 1 minute 3 feet?

Back

0.3 miles per minute is a unit rate.

Front

How do you find the ratio of two quantities?

Back

To find the ratio of two quantities, divide one quantity by the other and express the result in simplest form.

Front

What is the ratio of 12 oranges to 8 apples?

Back

The ratio of oranges to apples is 12:8, which simplifies to 3:2.