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 and hours per acre you multiply the numerator and a complex fraction by the reciprocal of the denominator to calculate our unit rate involving fractions
so, (2 3/4)/(4 1/8)=(11/4)/(33/8)=11*8/(4*33) =22/33=2/3 acres/hour
How do you make this into a complex fraction?
That is a very good thing to ask because i want to know too :D
guys if u want the answer just as me XD
how do you make it a complex fraction?! brainly isnt helping and i really need to know my assignment is past due!
guf
To calculate the unit rate and hours per acre, we first need to convert the given mixed numbers to improper fractions.
The area of the lawn is given as 2 3/4 acres. To convert this to an improper fraction, we multiply the whole number (2) by the denominator (4), and add the numerator (3). This gives us (2 * 4) + 3 = 8 + 3 = 11. So, the area of the lawn is 11/4 acres.
Next, we need to calculate the unit rate, which is the amount of work done per unit of time (here, the amount of mowing done per hour). To find the unit rate, we divide the total work done (area of the lawn) by the time it took to complete the job.
Unit Rate = Total Work Done / Time Taken
In this case, the total work done is 11/4 acres, and the time taken is 4 1/8 hours. To convert 4 1/8 to an improper fraction, multiply the whole number (4) by the denominator (8), and add the numerator (1). This gives us (4 * 8) + 1 = 32 + 1 = 33. So, the time taken is 33/8 hours.
Now, we can calculate the unit rate:
Unit Rate = (11/4) acres / (33/8) hours
To divide by a fraction, we multiply by its reciprocal:
Unit Rate = (11/4) acres * (8/33) hours
The acres unit cancels out, leaving us with:
Unit Rate = 11 * 8 / (4 * 33) hours
Simplifying further:
Unit Rate = 88 / 132 hours
Now, we can simplify this fraction by dividing both the numerator and denominator by their greatest common divisor, which is 4:
Unit Rate = (88/4) / (132/4) hours
Unit Rate = 22 / 33 hours
So, the unit rate is 22/33 hours per acre.
To summarize:
- The unit rate is 22/33 hours per acre.
- Jason took 4 1/8 hours, which is equivalent to 33/8 hours, to complete the job.