implify the following fraction: \( \frac{36}{60} \)

To simplify the fraction \( \frac{36}{60} \), we need to find the greatest common divisor (GCD) of 36 and 60. Both numbers can be divided by 12, which is their GCD. So, \[ \frac{36 \div 12}{60 \div 12} = \frac{3}{5} \] Thus, the simplified fraction is \( \frac{3}{5} \). Now, let's have some fun facts! Did you know that fractions become more fascinating when you explore their history? The ancient Egyptians used a unique system of fractions made up solely of unit fractions, which are fractions with a numerator of one! They would write \( \frac{2}{3} \) as \( \frac{1}{2} + \frac{1}{6} \), showcasing a nifty way of dealing with numbers. Moreover, simplifying fractions isn’t just math fun; it’s super handy in real life! For instance, when cooking, recipes often call for fractions. If you want to double a recipe that uses \( \frac{3}{5} \) of a cup of sugar, simplifying fractions can help you quickly understand how much sugar to use—just multiply, and you’re good to go! Plus, it makes measuring ingredients so much easier!