1. The problem is to understand and visualize fractions represented as parts of a whole, specifically fractions of the form $\frac{1}{n}$ where $n$ is an integer from 1 to 12. 2. Each fraction $\frac{1}{n}$ represents one part when a whole is divided into $n$ equal parts. 3. The pie charts illustrate this by dividing a circle into $n$ equal segments, each labeled $\frac{1}{n}$. 4. For example, $\frac{1}{1}$ is the whole circle, $\frac{1}{2}$ divides the circle into 2 halves, $\frac{1}{3}$ into 3 equal parts, and so on up to $\frac{1}{12}$. 5. This visual helps understand that as the denominator increases, each fractional part becomes smaller. 6. The sum of all $n$ parts of $\frac{1}{n}$ equals 1, i.e., $$\sum_{k=1}^n \frac{1}{n} = 1.$$ 7. This concept is fundamental in fractions, ratios, and proportional reasoning. Final answer: The pie charts effectively demonstrate the concept of unit fractions $\frac{1}{n}$ for $n=1$ to $12$, showing how a whole is divided into equal parts and each part's size decreases as $n$ increases.