Unit Rates with Fractions

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' something (e.g., miles per hour, dollars per item).

Front

How do you calculate a unit rate from a fraction?

Back

To calculate a unit rate from a fraction, divide the numerator by the denominator and then multiply by the appropriate conversion factor to express it per unit (e.g., per hour).

Front

What is the unit rate of 3/8 acre in 3/4 hour?

Back

The unit rate is 1/2 acre per hour.

Front

How do you simplify a unit rate expressed as a fraction?

Back

To simplify a unit rate expressed as a fraction, divide both the numerator and the denominator by their greatest common divisor (GCD).

Front

What is the unit rate of 5/8 pound in 2/3 hour?

Back

The unit rate is 15/16 pounds per hour.

Front

How do you convert a speed given in fractions to a unit rate?

Back

To convert speed given in fractions to a unit rate, divide the distance by the time, ensuring both are expressed in compatible units.

Front

What is the speed of Lauren who bikes 4/3 miles in 1/10 hour?

Back

Her speed is 12 miles per hour.

Front

How do you find the amount of one ingredient needed based on the ratio of two ingredients?

Back

To find the amount of one ingredient needed based on the ratio, set up a proportion using the given ratio and solve for the unknown.

Front

If a recipe calls for 2/3 cup of white sugar for every 3/4 cup of brown sugar, how much brown sugar is needed for 1 cup of white sugar?

Back

You need 9/8 cups of brown sugar.

Front

What is the unit rate of 65/12 liters in 1 hour?

Back

The unit rate is 65/12 liters per hour.