How do you convert 0.37 (37 repeating) as a fraction?

To convert \( 0.\overline{37} \) (a repeating decimal) into a fraction, follow these steps:

1. **Let the repeating decimal be represented by a variable:**

Let \( x = 0.\overline{37} \). This means \( x = 0.373737... \).

2. **Multiply both sides by a power of 10 to shift the repeating part:**

Since the repeating block "37" has two digits, multiply by \( 100 \):
\[
100x = 37.373737...
\]

3. **Subtract the original equation from this new equation:**

Subtract \( x = 0.373737... \) from \( 100x = 37.373737... \):
\[
100x - x = 37.373737... - 0.373737...
\]
This simplifies to:
\[
99x = 37
\]

4. **Solve for \( x \):**

Divide both sides by \( 99 \):
\[
x = \frac{37}{99}
\]

5. **Simplify the fraction (if possible):**

The greatest common divisor (GCD) of \( 37 \) and \( 99 \) is \( 1 \), so \( \frac{37}{99} \) is already in its simplest form.

**Final Answer:**
The fraction representation of \( 0.\overline{37} \) is \( \frac{37}{99} \).