Unit Rates with Fractions

Front

What is a unit rate?

Back

A unit rate is a comparison of two different quantities when they are combined together. It expresses how much of one quantity corresponds to one unit of another quantity.

Front

How do you find the unit rate of a fraction?

Back

To find the unit rate of a fraction, divide the numerator by the denominator and then divide the result by the time or quantity you are comparing it to.

Front

Find the unit rate for 3/4 of a gallon in 5 hours.

Back

3/20

Front

If a recipe calls for 2/3 cup of sugar for every 3/4 cup of brown sugar, how do you find the amount of brown sugar needed for 1 cup of sugar?

Back

Set up a proportion: (2/3) / (3/4) = (1) / (x) and solve for x.

Front

What is the unit rate of production in products per hour if a machine produces 2/9 of a product in 1/2 of an hour?

Back

4/9

Front

How do you convert a fraction to a unit rate?

Back

Divide the fraction by the time or quantity to find how much of the fraction corresponds to one unit.

Front

What is the unit rate of sugar in cups per cups of chocolate chips if you use 2/3 of a cup of sugar with 8/9 cups of chocolate chips?

Back

3/4

Front

How do you set up a proportion to solve for an unknown quantity?

Back

Set the ratio of known quantities equal to the ratio of unknown quantities and cross-multiply to solve.

Front

If a recipe uses 2/3 cup of sugar for 8/9 cups of chocolate chips, how much sugar is needed for 1 cup of chocolate chips?

Back

Use the unit rate: (2/3) / (8/9) = (x) / (1) and solve for x.

Front

What is the relationship between unit rates and ratios?

Back

Unit rates are a specific type of ratio that compares a quantity to one unit of another quantity.