Решите уравнения: a) (x - 3 2/5) + 7 4/5 = 9 1/5; б) 5 3/8 + (x - 1 5/8) = 8 1/8.

Задание 13

Решите уравнения:

a) \( (x - 3\frac{2}{5}) + 7\frac{4}{5} = 9\frac{1}{5} \)

\( x - 3\frac{2}{5} = 9\frac{1}{5} - 7\frac{4}{5} \)

\( x - \frac{17}{5} = \frac{46}{5} - \frac{39}{5} \)

\( x - \frac{17}{5} = \frac{7}{5} \)

\( x = \frac{7}{5} + \frac{17}{5} \)

\( x = \frac{24}{5} = 4\frac{4}{5} \)

б) \( 5\frac{3}{8} + (x - 1\frac{5}{8}) = 8\frac{1}{8} \)

\( x - 1\frac{5}{8} = 8\frac{1}{8} - 5\frac{3}{8} \)

\( x - \frac{13}{8} = \frac{65}{8} - \frac{43}{8} \)

\( x - \frac{13}{8} = \frac{22}{8} \)

\( x = \frac{22}{8} + \frac{13}{8} \)

\( x = \frac{35}{8} = 4\frac{3}{8} \)

Ответ: a) \( x = 4\frac{4}{5} \); б) \( x = 4\frac{3}{8} \).