To convert 62.5% to a fraction, we start by expressing it as:
\[ 62.5% = \frac{62.5}{100} \]
Next, we can convert 62.5 to a fraction. We notice that:
\[ 62.5 = \frac{625}{10} \]
Therefore, we can rewrite \(62.5%\) as:
\[ \frac{625}{10} \div \frac{100}{1} = \frac{625}{1000} \]
Now we simplify \(\frac{625}{1000}\). To do this, we can find the greatest common divisor (GCD) of 625 and 1000. The GCD is 125.
Now, we divide both the numerator and the denominator by their GCD:
\[ \frac{625 \div 125}{1000 \div 125} = \frac{5}{8} \]
Thus, the fraction that is equivalent to 62.5% in lowest terms is:
\[ \frac{5}{8} \]
So, the final answer is:
\(\frac{5}{8}\)