\( 87.5 \% \) is equivalent to what fraction in reduced terme?

To convert \( 87.5\% \) to a fraction, you can start by rewriting it in decimal form as \( 0.875 \). This can be expressed as \( \frac{875}{1000} \). To reduce this fraction, divide the numerator and the denominator by their greatest common divisor, which is \( 125 \). So, \( \frac{875 \div 125}{1000 \div 125} = \frac{7}{8} \). Therefore, \( 87.5\% \) is equivalent to \( \frac{7}{8} \) in reduced terms. Now, for a little extra fun, did you know that percentages are actually just fractions of 100? The term "percent" comes from "per centum," which means "by the hundred" in Latin. So, next time you're converting percentages, just remember that they are fractions in disguise, waiting to be revealed in their simplest form! If you ever find yourself fumbling with fractions, an easy rule of thumb is to always look for factors. Start with the smallest prime numbers like 2, 3, 5, and 7 to find common factors in the numerator and denominator. Most mistakes stem from rushing ahead without finding those common primes! So take your time—your future self will thank you for it!