7. Arrange the following rational numbers in ascending order: \( \begin{array}{lll}\text { (i) } \frac{3}{4}, \frac{-4}{5}, \frac{14}{10} & \text { (ii) } \frac{5}{18}, \frac{4}{9}, \frac{-5}{3} & \text { (iii) } \frac{3}{7}, \frac{4}{14}, \frac{5}{21}\end{array} \)

To arrange the rational numbers in ascending order, we first convert each fraction to a decimal or find a common denominator for easier comparison. For the first group: (i) \( \frac{3}{4} = 0.75 \), \( \frac{-4}{5} = -0.8 \), \( \frac{14}{10} = 1.4 \) Arranged: \( \frac{-4}{5}, \frac{3}{4}, \frac{14}{10} \) For the second group: (ii) \( \frac{5}{18} \approx 0.2778 \), \( \frac{4}{9} \approx 0.4444 \), \( \frac{-5}{3} \approx -1.6667 \) Arranged: \( \frac{-5}{3}, \frac{5}{18}, \frac{4}{9} \) For the third group: (iii) \( \frac{3}{7} \approx 0.4286 \), \( \frac{4}{14} = \frac{2}{7} \approx 0.2857 \), \( \frac{5}{21} \approx 0.2381 \) Arranged: \( \frac{5}{21}, \frac{4}{14}, \frac{3}{7} \) Now we can summarize the arrangements: - (i) \( \frac{-4}{5}, \frac{3}{4}, \frac{14}{10} \) - (ii) \( \frac{-5}{3}, \frac{5}{18}, \frac{4}{9} \) - (iii) \( \frac{5}{21}, \frac{4}{14}, \frac{3}{7} \)