The decimal \( 3.\overline{8} \) (where 8 repeats indefinitely) can be expressed as a fraction. Let me show you how to convert it:

### Step-by-step conversion of \( 3.\overline{8} \) to a fraction:

1. Let \( x = 3.\overline{8} \).
2. Multiply both sides of the equation by 10 to shift the repeating decimal:
   \[
   10x = 38.\overline{8}
   \]
3. Subtract the original equation \( x = 3.\overline{8} \) from this new equation:
   \[
   10x - x = 38.\overline{8} - 3.\overline{8}
   \]
   This simplifies to:
   \[
   9x = 35
   \]
4. Solve for \( x \):
   \[
   x = \frac{35}{9}
   \]

Thus, \( 3.\overline{8} = \frac{35}{9} \).

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

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Here are 5 related questions:
1. How do you convert repeating decimals with different patterns (e.g., \( 0.\overline{23} \)) to fractions?
2. What is the process for converting non-repeating decimals to fractions?
3. Can all repeating decimals be expressed as fractions?
4. How can you recognize if a decimal is terminating or repeating?
5. How do you simplify fractions after converting from repeating decimals?

**Tip**: A repeating decimal is always a rational number, meaning it can be written as a fraction of two integers!

Learn how to convert the repeating decimal 3.8 (with 8 repeating indefinitely) to a fraction. This detailed solution walks through the algebraic steps involved, providing a clear explanation suitable for students in Grades 7-9. Understand how repeating decimals are linked to rational numbers and fractions.

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