1. **Stating the problem:** We need to order the fractions in each list either from smallest to largest or largest to smallest as specified. 2. **Important rules:** To compare fractions, convert them to decimals or find a common denominator. --- ### a) Order from klein naar groot (smallest to largest): Fractions: $\frac{2}{3}, \frac{3}{8}, \frac{9}{8}, \frac{11}{12}, \frac{2}{4}$ - Convert to decimals: - $\frac{2}{3} = 0.6667$ - $\frac{3}{8} = 0.375$ - $\frac{9}{8} = 1.125$ - $\frac{11}{12} \approx 0.9167$ - $\frac{2}{4} = 0.5$ - Order: $0.375 < 0.5 < 0.6667 < 0.9167 < 1.125$ - So: $\frac{3}{8} < \frac{2}{4} < \frac{2}{3} < \frac{11}{12} < \frac{9}{8}$ --- ### b) Order from groot naar klein (largest to smallest): Fractions: $\frac{4}{8}, \frac{6}{8}, \frac{3}{7}, \frac{1}{5}, \frac{3}{10}$ - Convert to decimals: - $\frac{4}{8} = 0.5$ - $\frac{6}{8} = 0.75$ - $\frac{3}{7} \approx 0.4286$ - $\frac{1}{5} = 0.2$ - $\frac{3}{10} = 0.3$ - Order: $0.75 > 0.5 > 0.4286 > 0.3 > 0.2$ - So: $\frac{6}{8} > \frac{4}{8} > \frac{3}{7} > \frac{3}{10} > \frac{1}{5}$ --- ### c) Order from klein naar groot (smallest to largest): Fractions: $\frac{1}{3}, \frac{3}{5}, \frac{2}{9}, \frac{6}{11}$ - Convert to decimals: - $\frac{1}{3} \approx 0.3333$ - $\frac{3}{5} = 0.6$ - $\frac{2}{9} \approx 0.2222$ - $\frac{6}{11} \approx 0.5455$ - Order: $0.2222 < 0.3333 < 0.5455 < 0.6$ - So: $\frac{2}{9} < \frac{1}{3} < \frac{6}{11} < \frac{3}{5}$ --- ### d) Order from groot naar klein (largest to smallest): Fractions: $\frac{7}{12}, \frac{3}{8}, \frac{4}{10}, \frac{3}{4}, \frac{1}{2}$ - Convert to decimals: - $\frac{7}{12} \approx 0.5833$ - $\frac{3}{8} = 0.375$ - $\frac{4}{10} = 0.4$ - $\frac{3}{4} = 0.75$ - $\frac{1}{2} = 0.5$ - Order: $0.75 > 0.5833 > 0.5 > 0.4 > 0.375$ - So: $\frac{3}{4} > \frac{7}{12} > \frac{1}{2} > \frac{4}{10} > \frac{3}{8}$ --- ### e) Order from klein naar groot (smallest to largest): Fractions: $\frac{3}{8}, \frac{1}{9}, \frac{4}{5}, \frac{5}{7}, \frac{2}{5}$ - Convert to decimals: - $\frac{3}{8} = 0.375$ - $\frac{1}{9} \approx 0.1111$ - $\frac{4}{5} = 0.8$ - $\frac{5}{7} \approx 0.7143$ - $\frac{2}{5} = 0.4$ - Order: $0.1111 < 0.375 < 0.4 < 0.7143 < 0.8$ - So: $\frac{1}{9} < \frac{3}{8} < \frac{2}{5} < \frac{5}{7} < \frac{4}{5}$ --- ### f) Order from groot naar klein (largest to smallest): Fractions: $\frac{2}{3}, \frac{1}{4}, \frac{4}{7}, \frac{5}{5}, \frac{9}{12}$ - Convert to decimals: - $\frac{2}{3} = 0.6667$ - $\frac{1}{4} = 0.25$ - $\frac{4}{7} \approx 0.5714$ - $\frac{5}{5} = 1$ - $\frac{9}{12} = 0.75$ - Order: $1 > 0.75 > 0.6667 > 0.5714 > 0.25$ - So: $\frac{5}{5} > \frac{9}{12} > \frac{2}{3} > \frac{4}{7} > \frac{1}{4}$ --- **Final answers:** - a) $\frac{3}{8} < \frac{2}{4} < \frac{2}{3} < \frac{11}{12} < \frac{9}{8}$ - b) $\frac{6}{8} > \frac{4}{8} > \frac{3}{7} > \frac{3}{10} > \frac{1}{5}$ - c) $\frac{2}{9} < \frac{1}{3} < \frac{6}{11} < \frac{3}{5}$ - d) $\frac{3}{4} > \frac{7}{12} > \frac{1}{2} > \frac{4}{10} > \frac{3}{8}$ - e) $\frac{1}{9} < \frac{3}{8} < \frac{2}{5} < \frac{5}{7} < \frac{4}{5}$ - f) $\frac{5}{5} > \frac{9}{12} > \frac{2}{3} > \frac{4}{7} > \frac{1}{4}$