To convert 0.625 to a fraction in its simplest form, follow these steps:
1. **Write down the decimal divided by 1:**
\[ 0.625 = \frac{0.625}{1} \]
2. **Multiply both the numerator and the denominator by 1000 to eliminate the decimal point:**
\[ \frac{0.625 \times 1000}{1 \times 1000} = \frac{625}{1000} \]
3. **Simplify the fraction by finding the greatest common divisor (GCD) of 625 and 1000. The GCD of 625 and 1000 is 125.**
\[ \frac{625 \div 125}{1000 \div 125} = \frac{5}{8} \]
4. **The simplified form of 0.625 as a fraction is:**
\[ \frac{5}{8} \]
So, 0.625 as a fraction in simplest form is \[ \frac{5}{8} \].