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The problem states:

- A developer sells lots of land in increments of \( \frac{7}{4} \) acres.
- The developer has a total of 84 acres.
- We need to find out how many such lots the developer can sell.

To solve this, we divide the total acres (84) by the size of each lot \( \frac{7}{4} \) acres.

\[
\text{Number of lots} = \frac{84}{\frac{7}{4}}
\]

When dividing by a fraction, we multiply by its reciprocal:

\[
\frac{84}{\frac{7}{4}} = 84 \times \frac{4}{7}
\]

Now, perform the multiplication:

\[
84 \times \frac{4}{7} = \frac{84 \times 4}{7} = \frac{336}{7} = 48
\]

So, the developer can sell **48 lots** of land.

Would you like more details or have any questions about the steps?

Here are five related questions:
1. How do you divide by a fraction in general?
2. What is the reciprocal of a fraction, and why is it used in division?
3. If the lot size was \( \frac{5}{3} \) acres instead of \( \frac{7}{4} \), how would the calculation change?
4. How would you check if the developer's total land was sufficient for at least 50 lots?
5. What if the total land was only 70 acres? How many lots could be sold then?

**Tip:** Dividing by a fraction is the same as multiplying by its reciprocal. Always flip the fraction and multiply!

A developer sells lots of land in increments of 7/4 acres. If the developer has 84 acres, how many lots can be sold?

Learn how to calculate the number of land lots a developer can sell when each lot is 7/4 acres and the total land available is 84 acres. This problem uses division of fractions and is suitable for students in Grades 6-8.

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