What is $$ 0.6 \overline{32} $$ as a fraction? Move numbers to the blanks to complete the fraction.

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To convert the repeating decimal $$ 0.6\overline{32} $$ to a fraction, follow these steps:

1. **Understand the Decimal:**
   - $$ 0.6\overline{32} $$ means $$ 0.6323232\ldots $$, where "32" repeats indefinitely.

2. **Let $$ x = 0.6323232\ldots $$**

3. **Multiply to Eliminate the Repeating Part:**
   - Since "32" has two digits, multiply $$ x $$ by 100:
     $$
     100x = 63.2323232\ldots
     $$
   
4. **Set Up the Equation:**
   $$
   100x - x = 63.2323232\ldots - 0.6323232\ldots
   $$
   $$
   99x = 62.6
   $$

5. **Solve for $$ x $$:**
   $$
   x = \frac{62.6}{99}
   $$
   
6. **Convert to Fraction with Integers:**
   - Multiply numerator and denominator by 10 to eliminate the decimal:
     $$
     x = \frac{626}{990}
     $$
   
7. **Simplify the Fraction:**
   - Divide numerator and denominator by 2:
     $$
     x = \frac{313}{495}
     $$
   
8. **Final Answer:**
   $$
   0.6\overline{32} = \frac{313}{495}
   $$

**Therefore, the fraction representation of $$ 0.6\overline{32} $$ is $$ \boxed{\dfrac{313}{495}} $$.**
$$ 0.6\overline{32} = \frac{313}{495} $$

What is \( 0.6 \overline{32} \) as a fraction? Move numbers to the blanks to complete the fraction.

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