and are equal ratios. True or false?

To determine if the ratios and are equal, we can simplify both ratios. simplifies to (by dividing both numbers by 9), while simplifies to as well (by dividing both numbers by 16). Since both simplify to the same ratio, they are indeed equal. Therefore, the statement is true!

For some fun historical context, ratios have been used since ancient civilizations such as the Babylonians and Egyptians for various purposes, including trade, architecture, and astronomy. The Greeks took this a step further and studied ratios in geometry, ultimately leading to the concepts we use today in mathematics.

In real-life applications, understanding ratios is crucial! For instance, cooks need to maintain specific ratios of ingredients for flavor balance, and engineers use ratios to ensure stress distribution in their designs. Mastering how to simplify and compare ratios can help in various everyday situations, making you a whiz in the kitchen or a savvy engineer!