Решите уравнение.

Решение уравнений с дробями: a) $\frac{3}{4} + a + \frac{5}{8} = 2\frac{1}{8}$ Приведем $\frac{3}{4}$ к знаменателю 8: $\frac{6}{8}$. $\frac{6}{8} + a + \frac{5}{8} = \frac{17}{8}$ $a + \frac{11}{8} = \frac{17}{8}$ $a = \frac{17}{8} - \frac{11}{8}$ $a = \frac{6}{8} = \frac{3}{4}$ **Ответ: 3/4** б) $x + \frac{7}{12} = \frac{1}{3} + \frac{5}{6}$ Приведем все дроби к знаменателю 12: $x + \frac{7}{12} = \frac{4}{12} + \frac{10}{12}$ $x + \frac{7}{12} = \frac{14}{12}$ $x = \frac{14}{12} - \frac{7}{12}$ $x = \frac{7}{12}$ **Ответ: 7/12** в) $(a - 1\frac{18}{19}) - \frac{11}{38} = 2$ $a - \frac{37}{19} - \frac{11}{38} = 2$ $a - \frac{74}{38} - \frac{11}{38} = 2$ $a - \frac{85}{38} = 2$ $a = 2 + \frac{85}{38}$ $a = 2 + 2\frac{9}{38} = 4\frac{9}{38}$ **Ответ: 4 9/38** г) $(18\frac{6}{7} + y) - 12\frac{2}{3} = 8\frac{1}{7}$ $18\frac{6}{7} + y = 8\frac{1}{7} + 12\frac{2}{3}$ $y = 8\frac{1}{7} + 12\frac{2}{3} - 18\frac{6}{7}$ $y = (8 - 18) + (12) + (\frac{3}{21} + \frac{14}{21} - \frac{18}{21})$ $y = 2 + (\frac{17}{21} - \frac{18}{21})$ $y = 1 + (\frac{21}{21} + \frac{17}{21} - \frac{18}{21})$ $y = 1\frac{20}{21}$ **Ответ: 1 20/21**