1. **Problem Statement:** Shade the regions corresponding to the fractions $\frac{4}{7}$, $\frac{13}{49}$, and $\frac{1}{6}$ in Fig. 2.1. 2. **Understanding Fractions:** A fraction $\frac{a}{b}$ means dividing a whole into $b$ equal parts and taking $a$ of those parts. 3. **Shading for Fig. 2.1:** - (a) Circle divided into 7 equal sectors; shade 4 sectors to represent $\frac{4}{7}$. - (b) Grid of $7 \times 7 = 49$ squares; shade 13 squares to represent $\frac{13}{49}$. - (c) Circle divided into 6 equal sectors; shade 1 sector to represent $\frac{1}{6}$. 4. **Problem Statement:** State the fractions of the shaded portions in Figs 2.2(a) and (b). 5. **Calculating Fractions for Fig. 2.2:** - (a) Semicircle divided into 8 equal sectors with 5 shaded sectors. Fraction shaded = $\frac{5}{8}$. - (b) Polygon divided into 10 equal sectors with 4 shaded sectors. Fraction shaded = $\frac{4}{10} = \frac{2}{5}$ after simplification. 6. **Summary:** - Fig. 2.1 shading corresponds exactly to the fractions given. - Fig. 2.2 shaded fractions are $\frac{5}{8}$ and $\frac{2}{5}$ respectively. This teaches how to interpret and represent fractions visually and how to simplify fractions when needed.