To solve the division of 3.125 by \( \frac{3}{8} \), you can follow these steps:

1. **Express 3.125 as a fraction**:
   \[
   3.125 = \frac{3125}{1000} = \frac{25}{8}
   \]

2. **Division of fractions**:
   Dividing by a fraction is the same as multiplying by its reciprocal. The reciprocal of \( \frac{3}{8} \) is \( \frac{8}{3} \).
   \[
   \frac{25}{8} \div \frac{3}{8} = \frac{25}{8} \times \frac{8}{3}
   \]

3. **Simplify the expression**:
   The \( \frac{8}{8} \) cancels out:
   \[
   \frac{25}{\cancel{8}} \times \frac{\cancel{8}}{3} = \frac{25}{3}
   \]

4. **Convert back to a decimal** (if needed):
   \[
   \frac{25}{3} \approx 8.3333\ldots
   \]

So, \( 3.125 \div \frac{3}{8} = \frac{25}{3} \) or approximately \( 8.\overline{3} \).

Would you like further details or have any questions?

Here are 5 related questions to expand on this topic:

1. How do you multiply and divide fractions?
2. What is the decimal representation of \( \frac{25}{3} \)?
3. How do you convert a mixed number to an improper fraction?
4. Can you explain how to simplify complex fractions?
5. How do you solve division problems involving mixed numbers?

**Tip:** Always simplify fractions before performing operations to make calculations easier!

Learn how to divide 3.125 by the fraction 3/8 with a detailed step-by-step solution. This guide explains how to convert decimals to fractions, perform fraction division, and simplify to get the final result in decimal form. Suitable for students in Grades 6-8.

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