53. Решите уравнение: 1) 10 5/8 - x = 7 3/5; 2) (x - 2 7/8) + 3 5/6 = 4 2/3.

1.

\( 10 \frac{5}{8} - x = 7 \frac{3}{5} \)

\( x = 10 \frac{5}{8} - 7 \frac{3}{5} \)

\( x = (10-7) + (\frac{5}{8} - \frac{3}{5}) \)

\( x = 3 + \frac{5 \cdot 5 - 3 \cdot 8}{40} \)

\( x = 3 + \frac{25 - 24}{40} \)

\( x = 3 + \frac{1}{40} \)

\( x = 3 \frac{1}{40} \)

2.

\( (x - 2 \frac{7}{8}) + 3 \frac{5}{6} = 4 \frac{2}{3} \)

\( x - 2 \frac{7}{8} = 4 \frac{2}{3} - 3 \frac{5}{6} \)

\( x - 2 \frac{7}{8} = (4-3) + (\frac{2}{3} - \frac{5}{6}) \)

\( x - 2 \frac{7}{8} = 1 + (\frac{2 \cdot 2}{3 \cdot 2} - \frac{5}{6}) \)

\( x - 2 \frac{7}{8} = 1 + (\frac{4}{6} - \frac{5}{6}) \)

\( x - 2 \frac{7}{8} = 1 - \frac{1}{6} \)

\( x - 2 \frac{7}{8} = \frac{6}{6} - \frac{1}{6} \)

\( x - 2 \frac{7}{8} = \frac{5}{6} \)

\( x = \frac{5}{6} + 2 \frac{7}{8} \)

\( x = 2 + (\frac{5}{6} + \frac{7}{8}) \)

\( x = 2 + \frac{5 \cdot 4 + 7 \cdot 3}{24} \)

\( x = 2 + \frac{20 + 21}{24} \)

\( x = 2 + \frac{41}{24} \)

\( x = 2 + 1 \frac{17}{24} \)

\( x = 3 \frac{17}{24} \)