452. Решите уравнение:

Решение:

1. \(\frac{2}{7} x = \frac{9}{14}\)
   \(x = \frac{9}{14} : \frac{2}{7}\)
   \(x = \frac{9}{14} \cdot \frac{7}{2}\)
   \(x = \frac{9 \cdot 7}{14 \cdot 2}\)
   \(x = \frac{9}{4}\)
2. \(\frac{3}{8} x = 6\)
   \(x = 6 : \frac{3}{8}\)
   \(x = 6 \cdot \frac{8}{3}\)
   \(x = \frac{6 \cdot 8}{3}\)
   \(x = 2 \cdot 8 = 16\)
3. \(3x = \frac{2}{9}\)
   \(x = \frac{2}{9} : 3\)
   \(x = \frac{2}{9} \cdot \frac{1}{3}\)
   \(x = \frac{2}{27}\)
4. \(x : \frac{6}{11} = \frac{3}{7}\)
   \(x = \frac{3}{7} \cdot \frac{6}{11}\)
   \(x = \frac{18}{77}\)
5. \(\frac{18}{49} : x = \frac{6}{35}\)
   \(x = \frac{18}{49} : \frac{6}{35}\)
   \(x = \frac{18}{49} \cdot \frac{35}{6}\)
   \(x = \frac{18 \cdot 35}{49 \cdot 6}\)
   \(x = \frac{3 \cdot 5}{7} = \frac{15}{7}\)
6. \(\frac{3}{8} x = 2,4\)
   \(x = 2,4 : \frac{3}{8}\)
   \(x = \frac{24}{10} \cdot \frac{8}{3}\)
   \(x = \frac{12}{5} \cdot \frac{8}{3}\)
   \(x = \frac{4 \cdot 8}{5} = \frac{32}{5} = 6,4\)

Ответ: 1) \(x = \frac{9}{4}\) 2) \(x = 16\) 3) \(x = \frac{2}{27}\) 4) \(x = \frac{18}{77}\) 5) \(x = \frac{15}{7}\) 6) \(x = 6,4\)