1) $$\frac{1}{4} + \frac{2}{9} = \frac{9}{36} + \frac{8}{36} = \frac{17}{36}$$.
2) $$\frac{3}{7} - \frac{1}{10} = \frac{30}{70} - \frac{7}{70} = \frac{23}{70}$$.
3) $$4\frac{5}{6} + 2\frac{3}{4} = 4 + \frac{5}{6} + 2 + \frac{3}{4} = 6 + \frac{10}{12} + \frac{9}{12} = 6 + \frac{19}{12} = 6 + 1\frac{7}{12} = 7\frac{7}{12}$$.
4) $$5\frac{1}{7} - 2\frac{1}{5} = 5 + \frac{1}{7} - 2 - \frac{1}{5} = 3 + \frac{5}{35} - \frac{7}{35} = 3 - \frac{2}{35} = 2\frac{33}{35}$$.