4) x: \frac{6}{11} = \frac{3}{7}; 3) 4x = \frac{5}{7}; 4) x: 2\frac{2}{15} = 1\frac{9}{16}; 6) \frac{3}{8} x = 2,4. 5) 4\frac{4}{9}: x = \frac{5}{27} 6) 1\frac{4}{9} x = 5,2.

Решим уравнения:

1) 4) x: \frac{6}{11} = \frac{3}{7} \(x = \frac{3}{7} \times \frac{6}{11} = \frac{18}{77}\) 2) 3) 4x = \frac{5}{7} \(x = \frac{5}{7} : 4 = \frac{5}{7} \times \frac{1}{4} = \frac{5}{28}\) 3) 4) x: 2\frac{2}{15} = 1\frac{9}{16} \(x: \frac{32}{15} = \frac{25}{16}\) \(x = \frac{25}{16} \times \frac{32}{15} = \frac{25 \times 32}{16 \times 15} = \frac{5 \times 2}{1 \times 3} = \frac{10}{3} = 3\frac{1}{3}\) 4) 6) \frac{3}{8} x = 2,4 \(x = 2.4 : \frac{3}{8} = 2.4 \times \frac{8}{3} = \frac{2.4 \times 8}{3} = \frac{19.2}{3} = 6.4\) 5) 5) 4\frac{4}{9}: x = \frac{5}{27} \(\frac{40}{9} : x = \frac{5}{27}\) \(x = \frac{40}{9} : \frac{5}{27} = \frac{40}{9} \times \frac{27}{5} = \frac{40 \times 27}{9 \times 5} = \frac{8 \times 3}{1 \times 1} = 24\) 6) 6) 1\frac{4}{9} x = 5,2 \(\frac{13}{9} x = 5.2\) \(x = 5.2 : \frac{13}{9} = 5.2 \times \frac{9}{13} = \frac{5.2 \times 9}{13} = \frac{46.8}{13} = 3.6\)

Ответ: 1) \(\frac{18}{77}\); 2) \(\frac{5}{28}\); 3) \(3\frac{1}{3}\); 4) 6.4; 5) 24; 6) 3.6

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