Answer:
[tex]10\frac{1}{2}\ \frac{acres}{hour}[/tex]
Step-by-step 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
[tex]8\frac{3}{4} :\frac{5}{6}[/tex]
Convert mixed number to an improper fraction
[tex]8\frac{3}{4}=8+\frac{3}{4}=\frac{8*4+3}{4}=\frac{35}{4}[/tex]
substitute
[tex]\frac{35}{4} :\frac{5}{6}=\frac{210}{20}=\frac{21}{2}\ \frac{acres}{hour}[/tex]
Convert to mixed number
[tex]\frac{21}{2}\ \frac{acres}{hour}=\frac{20}{2}+\frac{1}{2}=10\frac{1}{2}\ \frac{acres}{hour}[/tex]
