4. Determiñe whether or not the ratios below are
   equivalent.

To determine if the ratios and are equivalent, we can simplify . Dividing both numbers by their greatest common divisor, which is 3, gives us . Comparing this with , we see that is not the same as . Therefore, the ratios are not equivalent.

Now, here’s a fun fact: The concept of ratios dates back to ancient civilizations, including the Egyptians and Greeks, who used them to measure and compare quantities. Ratios are not only essential in math but also play a vital role in art, architecture, and music!

To avoid common mistakes while working with ratios, remember to check if you’re comparing them correctly. Sometimes it’s easy to flip them around! Always reduce to the simplest form to get a clearer picture. A helpful tip is to write ratios as fractions and cross-multiply to easily determine their equivalence!