Question

Darcy harvests 8\dfrac348

4
3
​
8, start fraction, 3, divided by, 4, end fraction acres of corn every \dfrac56
6
5
​
start fraction, 5, divided by, 6, end fraction of an hour. Darcy harvests corn at a constant rate
How many acres does she harvest per hour?

Answer 1

`10(1)/(2)` or
`(21)/(2)`

Answer 2

`10(1)/(2)\ (acres)/(hour)`

Explanation:

The correct question is:

Darcy harvests 8 3/4 ​ acres of corn every 5/6​ of an hour. Darcy harvests corn at a constant rate. How many acres does she harvest per hour?

we know that

To find out the corn rate harvested per hour or the unit rate, divide the number of acres of corn harvested by the total time it takes

so

`8(3)/(4) :(5)/(6)`

Convert mixed number to an improper fraction

`8(3)/(4)=8+(3)/(4)=(8*4+3)/(4)=(35)/(4)`

substitute

`(35)/(4) :(5)/(6)=(210)/(20)=(21)/(2)\ (acres)/(hour)`

Convert to mixed number

`(21)/(2)\ (acres)/(hour)=(20)/(2)+(1)/(2)=10(1)/(2)\ (acres)/(hour)`