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 calculate a unit rate with fractions?

Back

To calculate a unit rate with fractions, divide the first fraction by the second fraction. This can be done by multiplying the first fraction by the reciprocal of the second fraction.

Front

If Lauren bikes 4/3 miles in 1/10 hour, how long does it take her to bike one mile?

Back

3/40 hours.

Front

Sasha can mow 3/8 of an acre in 3/4 hour. How many acres does she mow per hour?

Back

1/2 acre per hour.

Front

Mr. Adams used 2/3 lbs of nails for 3 1/3 yards of fence. How many yards can he secure with 1 lb of nails?

Back

5 yards.

Front

Lora took 1/6 minute to fill 3/5 gallon of gas. How many gallons can she fill in 1 minute?

Back

3 3/5 gallons.

Front

Will spent $3.75 for 3 pounds of granola. What is his unit rate in dollars per pound?

Back

$1.25 per pound.

Front

What is the reciprocal of a fraction?

Back

The reciprocal of a fraction is obtained by flipping the numerator and denominator. For example, the reciprocal of 3/4 is 4/3.

Front

How do you convert a mixed number to an improper fraction?

Back

To convert a mixed number to an improper fraction, multiply the whole number by the denominator, add the numerator, and place that sum over the original denominator.

Front

What is the formula for finding unit rates?

Back

Unit Rate = (Quantity 1) / (Quantity 2) where Quantity 2 is 1.