Ratios and Unit Rates

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

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

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., miles per hour).

Front

How do you find the unit rate?

Back

To find the unit rate, divide the first quantity by the second quantity to determine how much of the first quantity corresponds to one unit of the second.

Front

Find the unit rate: drove 245 miles in 5 hours.

Back

49 miles per hour.

Front

Write the ratio as a fraction in simplest form: 8 out of 12.

Back

2/3.

Front

Write the ratio as a fraction in simplest form: 4:7.

Back

4/7.

Front

Find the unit rate: 42 gallons in 7 minutes.

Back

6 gallons per minute.

Front

Find the unit rate: studied 750 minutes in the last 4 years.

Back

187.5 minutes per year.

Front

What is the simplest form of a ratio?

Back

The simplest form of a ratio is when both quantities are divided by their greatest common factor.