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The problem asks to divide the length of the trail, which is \( \frac{8}{10} \) miles, into 4 equal sections.

To find how long each section is, we need to divide \( \frac{8}{10} \) by 4.

### Steps:

1. **Start with the given length of the trail:**  
   \( \frac{8}{10} \) miles.

2. **Divide by 4 (which is the same as multiplying by \( \frac{1}{4} \)):**  
   \[
   \frac{8}{10} \div 4 = \frac{8}{10} \times \frac{1}{4}
   \]

3. **Multiply the numerators and denominators:**  
   \[
   \frac{8 \times 1}{10 \times 4} = \frac{8}{40}
   \]

4. **Simplify \( \frac{8}{40} \):**  
   \( \frac{8}{40} = \frac{1}{5} \).

### Final Answer:
Each section of the trail is \( \frac{1}{5} \) miles long.

Would you like more details or have any questions about this process?

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Here are some related questions for further exploration:

1. What if the trail was \( \frac{9}{10} \) miles long and divided into 3 sections?
2. How would the division change if the trail was 1 mile long?
3. What happens when dividing a fraction by a decimal instead of a whole number?
4. Can you convert \( \frac{1}{5} \) miles into feet? (Hint: 1 mile = 5280 feet)
5. How would the answer change if the trail length were doubled?

**Tip:** When dividing by a whole number, remember that it's the same as multiplying by the reciprocal of that number!

A new nature trail is 8/10 miles long. A park ranger divides the trail into 4 equal sections. How long is each section of the trail?

Learn how to divide a trail of 8/10 miles into 4 equal sections using fraction division. This problem includes key concepts such as multiplying fractions and simplifying answers, suitable for Grades 4-6.

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