To divide \( 8 \) by \( 3 \frac{1}{5} \), you can follow these steps:

1. **Convert the mixed number to an improper fraction**:
   \[
   3 \frac{1}{5} = \frac{3 \times 5 + 1}{5} = \frac{15 + 1}{5} = \frac{16}{5}
   \]

2. **Set up the division**:
   \[
   8 \div \frac{16}{5}
   \]

3. **Convert the division into multiplication by the reciprocal**:
   \[
   8 \times \frac{5}{16}
   \]

4. **Simplify the multiplication**:
   \[
   8 = \frac{8}{1}, \quad \text{so multiply the fractions: } \frac{8 \times 5}{1 \times 16} = \frac{40}{16}
   \]

5. **Simplify the fraction**:
   \[
   \frac{40}{16} = \frac{5}{2} = 2.5
   \]

So, \( 8 \div 3 \frac{1}{5} = 2.5 \).

Would you like further details or have any other questions?

Here are 5 related questions you might find interesting:
1. What is \( 8 \div 2 \frac{2}{3} \)?
2. How do you multiply mixed numbers?
3. How do you convert improper fractions to mixed numbers?
4. What is the reciprocal of a fraction, and how is it used in division?
5. Can you simplify the fraction \( \frac{50}{20} \) further?

**Tip:** When dividing by a mixed number, always convert it to an improper fraction first!

Learn how to divide 8 by 3 1/5 (three and one-fifth) step-by-step. This problem involves converting mixed numbers to improper fractions and using reciprocal multiplication to solve division. Suitable for Grades 6-8.

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