9 3/4 acers are divided into lots of 2/3 acres each what is the maxum number of lots that can be created

The maximum number of lots is 14.

Step-by-step explanation:

In order to find this, we need to give these common denominators.

9 3/4 : 2/3

9 9/12 : 8/12

Now we also need to take this first number out of being a mixed number and into an improper fraction.

117/12 : 8/12

Now when you have two fractions being divided by one another, you can flip the second one and multiply.

117/12 * 12/8 = 117/8 = 14.625

Since we are looking for a whole number answer, we round down to 14.