Ответ:
Краткое пояснение: Чтобы найти неизвестный компонент уравнения, нужно использовать обратную операцию.
1) \[\frac{6}{5}x = \frac{3}{5}\]
\[x = \frac{3}{5} : \frac{6}{5}\]
\[x = \frac{3}{5} \times \frac{5}{6}\]
\[x = \frac{3 \times 5}{5 \times 6}\]
\[x = \frac{1 \times 1}{1 \times 2}\]
\[x = \frac{1}{2}\]
2) \[\frac{4}{7}x = 1\]
\[x = 1 : \frac{4}{7}\]
\[x = 1 \times \frac{7}{4}\]
\[x = \frac{7}{4}\]
\[x = 1 \frac{3}{4}\]
3) \[\frac{3}{4}x = 12\]
\[x = 12 : \frac{3}{4}\]
\[x = 12 \times \frac{4}{3}\]
\[x = \frac{12 \times 4}{3}\]
\[x = \frac{4 \times 4}{1}\]
\[x = 16\]
4) \[3x = \frac{2}{3}\]
\[x = \frac{2}{3} : 3\]
\[x = \frac{2}{3} \times \frac{1}{3}\]
\[x = \frac{2 \times 1}{3 \times 3}\]
\[x = \frac{2}{9}\]
5) \[x : \frac{7}{15} = \frac{15}{28}\]
\[x = \frac{15}{28} \times \frac{7}{15}\]
\[x = \frac{15 \times 7}{28 \times 15}\]
\[x = \frac{1 \times 1}{4 \times 1}\]
\[x = \frac{1}{4}\]
6) \[\frac{16}{27} : x = \frac{8}{9}\]
\[x = \frac{16}{27} : \frac{8}{9}\]
\[x = \frac{16}{27} \times \frac{9}{8}\]
\[x = \frac{16 \times 9}{27 \times 8}\]
\[x = \frac{2 \times 1}{3 \times 1}\]
\[x = \frac{2}{3}\]
Ответ: