Ratios, Rates, & Unit Rate

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 simplify a ratio?

Back

To simplify a ratio, divide both terms by their greatest common divisor (GCD).

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 dollars per gallon.

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

If a car travels 300 miles in 5 hours, what is the unit rate?

Back

60 miles per hour.

Front

How do you find the price per item?

Back

To find the price per item, divide the total cost by the number of items.

Front

If 12 apples cost $3, what is the price per apple?

Back

$0.25 per apple.

Front

What is the formula for calculating a unit rate?

Back

Unit Rate = Total Quantity / Number of Units.

Front

If a recipe calls for 4 cups of flour for 2 cakes, what is the ratio of flour to cakes?

Back

The ratio is 2 cups of flour per cake.

Front

How do you convert a ratio into a fraction?

Back

To convert a ratio into a fraction, write the first term as the numerator and the second term as the denominator.