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 is expressed as a quantity per one unit of another quantity.

Front

How do you calculate a unit rate with fractions?

Back

To calculate a unit rate with fractions, divide the first quantity (numerator) by the second quantity (denominator) and simplify the result.

Front

What is the formula to find speed?

Back

Speed = Distance / Time.

Front

If a turtle takes 3 ¼ hours to walk 1 ½ miles, how do you find the time to walk one mile?

Back

Divide the total time (3 ¼ hours) by the total distance (1 ½ miles) to find the time per mile.

Front

What is the process to solve for how much brown sugar to use if you have 1 cup of white sugar?

Back

Set up a proportion based on the original recipe: (2/3 cup white sugar) / (3/4 cup brown sugar) = (1 cup white sugar) / (x cups brown sugar) and solve for x.

Front

How do you convert mixed numbers to improper fractions?

Back

Multiply the whole number by the denominator, add the numerator, and place that result over the original denominator.

Front

What is the first step in solving a problem involving unit rates?

Back

Identify the quantities involved and determine what you need to find.

Front

How do you simplify a fraction?

Back

Divide the numerator and the denominator by their greatest common divisor (GCD).

Front

What is the relationship between speed, distance, and time?

Back

Speed is directly proportional to distance and inversely proportional to time.

Front

If Lauren bikes 4/3 miles in 1/10 hour, how do you find the time to bike one mile?

Back

Divide the time taken (1/10 hour) by the distance (4/3 miles) and then find the reciprocal to get the time for one mile.