1. The problem involves understanding fractions represented as parts of circles or semicircles, where each segment corresponds to a fraction of the whole. 2. The key formula for each fraction segment is: $$\text{Fraction} = \frac{1}{n}$$ where $n$ is the number of equal parts the circle or semicircle is divided into. 3. Important rules: - The sum of all fractions in a full circle equals 1. - For semicircles, the sum of fractions equals $\frac{1}{2}$. - Fractions with the same denominator represent equal parts. 4. Examples from the images: - A circle divided into 4 parts has each part as $\frac{1}{4}$. - A semicircle divided into 6 parts has each part as $\frac{1}{12}$ because the semicircle is half the circle. 5. To verify fractions in semicircles: - If a semicircle is divided into $m$ equal parts, each part is $\frac{1}{2m}$ of the full circle. 6. Applying this to the semicircular fans: - For 2 parts labeled $\frac{1}{4}$ each, total is $2 \times \frac{1}{4} = \frac{1}{2}$, confirming semicircle. - For 3 parts labeled $\frac{1}{6}$ each, total is $3 \times \frac{1}{6} = \frac{1}{2}$. 7. Summary: - Full circles: fraction per segment = $\frac{1}{n}$. - Semicircles: fraction per segment = $\frac{1}{2n}$. This understanding helps interpret and verify the fraction values shown in the pie and fan charts. Final answer: The fractions represent equal parts of circles or semicircles, calculated as $\frac{1}{n}$ for full circles and $\frac{1}{2n}$ for semicircles where $n$ is the number of segments.