a. \( \frac{8}{m+5} * m \)

Understanding how to manipulate algebraic expressions can be both fun and practical! In this case, you can simplify \( \frac{8m}{m+5} \) further by checking for any common factors. Since \( m \) can be any value (except -5, to avoid division by zero), you could look for values that make this expression more manageable, like substitutions that simplify calculations. Next, in real-world settings, knowing how to simplify fractions helps in fields such as engineering, physics, and economics. For instance, if you're calculating materials needed when designing a project, creating a cleaner and simpler expression can help in precise calculations, ensuring that projects run smoothly and effectively!