Реши уравнения с комментированием и сделай проверку: a) x + 4\frac{2}{11} = 7 б) 3\frac{8}{9}+ a = 6\frac{1}{9} в) 9\frac{1}{5} - y = 7\frac{3}{5} г) b - \frac{3}{17} = 1\frac{16}{17} д) z - 4\frac{4}{7} = 2\frac{5}{7} e) 5\frac{6}{13} - c = 3\frac{11}{13}

Решим уравнения с комментированием и сделаем проверку:

1. a) $$x + 4\frac{2}{11} = 7$$
   $$x = 7 - 4\frac{2}{11}$$
   $$x = 6\frac{11}{11} - 4\frac{2}{11}$$
   $$x = 2\frac{9}{11}$$
   Проверка:
   $$2\frac{9}{11} + 4\frac{2}{11} = 7$$
   $$6\frac{11}{11} = 7$$
   $$7 = 7$$
2. б) $$3\frac{8}{9}+ a = 6\frac{1}{9}$$
   $$a = 6\frac{1}{9} - 3\frac{8}{9}$$
   $$a = 5\frac{10}{9} - 3\frac{8}{9}$$
   $$a = 2\frac{2}{9}$$
   Проверка:
   $$3\frac{8}{9} + 2\frac{2}{9} = 6\frac{1}{9}$$
   $$5\frac{10}{9} = 6\frac{1}{9}$$
   $$6\frac{1}{9} = 6\frac{1}{9}$$
3. в) $$9\frac{1}{5} - y = 7\frac{3}{5}$$
   $$y = 9\frac{1}{5} - 7\frac{3}{5}$$
   $$y = 8\frac{6}{5} - 7\frac{3}{5}$$
   $$y = 1\frac{3}{5}$$
   Проверка:
   $$9\frac{1}{5} - 1\frac{3}{5} = 7\frac{3}{5}$$
   $$8\frac{6}{5} - 1\frac{3}{5} = 7\frac{3}{5}$$
   $$7\frac{3}{5} = 7\frac{3}{5}$$
4. г) $$b - \frac{3}{17} = 1\frac{16}{17}$$
   $$b = 1\frac{16}{17} + \frac{3}{17}$$
   $$b = 1\frac{19}{17}$$
   $$b = 2\frac{2}{17}$$
   Проверка:
   $$2\frac{2}{17} - \frac{3}{17} = 1\frac{16}{17}$$
   $$1\frac{19}{17} - \frac{3}{17} = 1\frac{16}{17}$$
   $$1\frac{16}{17} = 1\frac{16}{17}$$
5. д) $$z - 4\frac{4}{7} = 2\frac{5}{7}$$
   $$z = 2\frac{5}{7} + 4\frac{4}{7}$$
   $$z = 6\frac{9}{7}$$
   $$z = 7\frac{2}{7}$$
   Проверка:
   $$7\frac{2}{7} - 4\frac{4}{7} = 2\frac{5}{7}$$
   $$6\frac{9}{7} - 4\frac{4}{7} = 2\frac{5}{7}$$
   $$2\frac{5}{7} = 2\frac{5}{7}$$
6. e) $$5\frac{6}{13} - c = 3\frac{11}{13}$$
   $$c = 5\frac{6}{13} - 3\frac{11}{13}$$
   $$c = 4\frac{19}{13} - 3\frac{11}{13}$$
   $$c = 1\frac{8}{13}$$
   Проверка:
   $$5\frac{6}{13} - 1\frac{8}{13} = 3\frac{11}{13}$$
   $$4\frac{19}{13} - 1\frac{8}{13} = 3\frac{11}{13}$$
   $$3\frac{11}{13} = 3\frac{11}{13}$$

Ответ: а) $$x = 2\frac{9}{11}$$, б) $$a = 2\frac{2}{9}$$, в) $$y = 1\frac{3}{5}$$, г) $$b = 2\frac{2}{17}$$, д) $$z = 7\frac{2}{7}$$, e) $$c = 1\frac{8}{13}$$