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To solve this problem, we need to find how many acres the farmer owns based on the provided sections and sizes.

The section size is given as **3 1/5** acres, which is a mixed number. The total number of such sections is **2 3/8**.

### Step 1: Convert Mixed Numbers to Improper Fractions
1. **Convert 3 1/5**:
   - Multiply the whole number (3) by the denominator (5): \(3 \times 5 = 15\)
   - Add the numerator (1): \(15 + 1 = 16\)
   - The improper fraction for \(3 \frac{1}{5}\) is \(\frac{16}{5}\).

2. **Convert 2 3/8**:
   - Multiply the whole number (2) by the denominator (8): \(2 \times 8 = 16\)
   - Add the numerator (3): \(16 + 3 = 19\)
   - The improper fraction for \(2 \frac{3}{8}\) is \(\frac{19}{8}\).

### Step 2: Multiply the Two Improper Fractions
Now, multiply the size of one section by the number of sections to find the total acres:

\[
\frac{16}{5} \times \frac{19}{8} = \frac{16 \times 19}{5 \times 8} = \frac{304}{40}
\]

### Step 3: Simplify the Fraction
Simplify \(\frac{304}{40}\) by finding the greatest common divisor (GCD) of 304 and 40. The GCD is 8:

\[
\frac{304 \div 8}{40 \div 8} = \frac{38}{5}
\]

### Step 4: Convert to a Mixed Number
Convert \(\frac{38}{5}\) into a mixed number:

\[
38 \div 5 = 7 \text{ with a remainder of } 3
\]

Thus, \(\frac{38}{5}\) equals \(7 \frac{3}{5}\).

### Final Answer:
The farmer owns **7 3/5 acres** of land.

Would you like further details or have any questions about this solution? 

Here are 5 related questions for practice:
1. What is the process for converting a mixed number to an improper fraction?
2. How do you multiply two fractions?
3. How can you find the greatest common divisor (GCD) of two numbers?
4. What is the method to convert an improper fraction back into a mixed number?
5. How would the solution change if the number of sections was given as \(3 \frac{1}{4}\) instead of \(2 \frac{3}{8}\)?

**Tip**: Always simplify fractions at the earliest opportunity to make calculations easier!

A farmer's land is separated into sections of size 3 1/5 acres. Suppose there are 2 3/8 such sections. How many acres of land does the farmer own?

Learn how to calculate the total acres of land a farmer owns by multiplying mixed numbers, involving fraction multiplication and simplification. Perfect for students in Grades 5-7, this problem teaches key concepts in fraction manipulation.

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