Question

Darcy harvests `8 3/4` acres of corn every `5/6` of an hour. How many acres does she harvest per hour?

Answer 1

`\frac21 2` or `10\frac1 2`

Explanation:

`8\frac3 4`is the same as `\frac35 4`
so Darcy harvests `\frac35 4`per `\frac5 6` hours
to figure out how much is harvested in one hour, you divide the amount harvested by the amount of hours taken to harvest it.

`\frac{35}{4}\div\frac{5}{6}=\frac{35}{4}\times\frac{6}{5}`
`\frac{35}{4}\times\frac{6}{5}=\frac{7}{2}\times\frac{3}{1}=\frac21 2`
so the answer is `\frac21 2` or `10\frac1 2`