A theater sold \( 92.5 \% \) of the tickets for the opening night of a production. Write this percent as a fraction in simplest form.

To express \( 92.5\% \) as a fraction, you first convert the percentage to a decimal: \( 92.5\% = 0.925 \). This can then be written as \( \frac{925}{1000} \). Next, simplify the fraction by dividing both the numerator and denominator by their greatest common divisor, which is \( 25 \). Thus, \( \frac{925 \div 25}{1000 \div 25} = \frac{37}{40} \). Another way to think about fractions is to remember that \( 92.5\% \) means \( 92.5 \) out of \( 100 \). You can write it as \( \frac{92.5}{100} \), then multiply the numerator and the denominator by \( 10 \) to eliminate the decimal. This gives \( \frac{925}{1000} \). Simplifying this fraction by dividing by \( 25 \) (since both \( 925 \) and \( 1000 \) are divisible by \( 25 \)) leads to \( \frac{37}{40} \).