24. \( \frac{1}{4}(16+4 p)= \)

Let's simplify the expression step by step. First, we start with the expression: \[ \frac{1}{4}(16 + 4p) \] Distributing the \(\frac{1}{4}\) to both terms inside the parentheses: \[ \frac{1}{4} \times 16 + \frac{1}{4} \times 4p \] This simplifies to: \[ 4 + p \] So, \( \frac{1}{4}(16 + 4p) = 4 + p \). Now, let's look at some additional information! Did you know that the concept of fractions dates back thousands of years? Ancient Egyptians used a system of fractions that involved unit fractions, where each fraction was expressed as a sum of fractions with a numerator of 1. This historical approach laid the groundwork for our modern understanding of fractions and algebra today! Understanding how to simplify expressions like this one is crucial for tackling more complex math problems. A common mistake is forgetting to distribute correctly or not simplifying fractions all the way. Always double-check your work, and remember to break down each step methodically to avoid errors in your calculations. Happy calculating!