Jason was hired to mow a lawn that covers an area of 2 3/4 acres. it took him 4 1/8 hours to complete the job. what was his unit rate in hours per acre?

in this activity, you will multiply the numerator in a complex fraction by the reciprocal of the denominator to calculate a unit rate involving fractions. answer the questions below to calculate jason’s unit rate as he mowed.

1. part a

according to the question, the unit rate is to be expressed in which units?

2 .part b

write a division problem that will you solve for the unit rate. write the problem from left to right using only mixed numbers. include units next to each mixed number.

3. part c

convert the mixed numbers to improper fractions. this will get you one step closer to finding the unit rate.

4. part d

write jason’s mowing rate as a complex fraction. a complex fraction is one whose numerator, denominator, or both are fractions.

5. part e

to simplify this complex fraction, find the reciprocal of the fraction in the denominator.

6. part f

multiply the numerator of the complex fraction in part d by the reciprocal that you found in part e. show your work from left to right for the entire problem. express the result as a mixed number.

7.part g

express your answer to the problem as a sentence. be sure to include the correct units in your response.