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To convert the decimal \( 4.65 \) to a fraction, we can follow these steps:
1. **Express the decimal as a fraction**:
\[
4.65 = \frac{465}{100}
\]
2. **Simplify the fraction**:
First, we need to find the greatest common divisor (GCD) of 465 and 100.
- The prime factorization of \( 465 \) is \( 3 \times 5 \times 31 \).
- The prime factorization of \( 100 \) is \( 2^2 \times 5^2 \).
The only common factor is \( 5 \).
3. **Divide both the numerator and the denominator by their GCD**:
\[
\frac{465 \div 5}{100 \div 5} = \frac{93}{20}
\]
Thus, the decimal \( 4.65 \) converted to the simplest form of a fraction is:
\[
\frac{93}{20}
\]