1.153. Решите уравнение: а) x + 2 3/16 = 3 1/8; б) x − 3 13/14 = 2 11/12; в) 2/9 : x = 7/18; г) 3/5 · x = 6/7; д) x : (1 2/3 + 4/9) = 9/38; е) (8 1/2 − 7 1/4)x = 5/12.

а) \(x = 3\frac{1}{8} - 2\frac{3}{16} = \frac{50}{16} - \frac{35}{16} = \frac{15}{16}\).

б) \(x = 2\frac{11}{12} + 3\frac{13}{14} = 6\frac{71}{84}\).

в) \(\frac{2}{9} : x = \frac{7}{18}\), поэтому \(x = \frac{2}{9} : \frac{7}{18} = \frac{4}{7}\).

г) \(\frac{3}{5}x = \frac{6}{7}\), поэтому \(x = \frac{6}{7} : \frac{3}{5} = \frac{10}{7} = 1\frac{3}{7}\).

д) \(1\frac{2}{3} + \frac{4}{9} = \frac{19}{9}\). Тогда \(x = \frac{9}{38} \cdot \frac{19}{9} = \frac{1}{2}\).

е) \(8\frac{1}{2} - 7\frac{1}{4} = 1\frac{1}{4} = \frac{5}{4}\). Тогда \(x = \frac{5}{12} : \frac{5}{4} = \frac{1}{3}\).

Ответ: а) \(\frac{15}{16}\); б) \(6\frac{71}{84}\); в) \(\frac{4}{7}\); г) \(1\frac{3}{7}\); д) \(\frac{1}{2}\); е) \(\frac{1}{3}\).