464. Решите уравнение: 1) 2 2/11x − 5/16 = 1 3/4; 2) 4 2/9x + 3 5/14 = 6 11/21; 3) 11/18 − 14/27x = 5/12; 4) 1/3x + 1/4x + 1 1/5x = 19/75; 5) 4 1/2 : x + 1 3/4 = 3 19/28; 6) 3 2/3 · (x − 2 4/15) = 3 5/13.

Question

Вопрос:

Accepted Answer

\(\frac{24}{11}x=1\frac{3}{4}+\frac{5}{16}=\frac{33}{16}\), поэтому \(x=\frac{121}{128}\).
\(\frac{38}{9}x=6\frac{11}{21}-3\frac{5}{14}=\frac{133}{42}\), поэтому \(x=\frac{3}{4}\).
\(-\frac{14}{27}x=\frac{5}{12}-\frac{11}{18}=-\frac{7}{36}\), поэтому \(x=\frac{3}{8}\).
\(\left(\frac13+\frac14+1\frac15\right)x=\frac{19}{75}\), \(\frac{107}{60}x=\frac{19}{75}\), поэтому \(x=\frac{76}{535}\).
\(\frac{9}{2}:x=3\frac{19}{28}-1\frac{3}{4}=\frac{27}{14}\), поэтому \(x=\frac{7}{3}\).
\(x-2\frac{4}{15}=3\frac{5}{13}:3\frac{2}{3}=\frac{12}{13}\), поэтому \(x=\frac{622}{195}\).

Ответ: 1) \(\frac{121}{128}\); 2) \(\frac34\); 3) \(\frac38\); 4) \(\frac{76}{535}\); 5) \(\frac73\); 6) \(\frac{622}{195}\).