2 Найдите x, если: а) 1 2/3 * x = 3/5; б) x * 1 7/9 = 1 2/3.

Решение: а) \(1\frac{2}{3}x = \frac{3}{5}\) \(\frac{5}{3}x = \frac{3}{5}\) \(x = \frac{3}{5} : \frac{5}{3}\) \(x = \frac{3}{5} \cdot \frac{3}{5}\) \(x = \frac{9}{25}\) б) \(x \cdot 1\frac{7}{9} = 1\frac{2}{3}\) \(x \cdot \frac{16}{9} = \frac{5}{3}\) \(x = \frac{5}{3} : \frac{16}{9}\) \(x = \frac{5}{3} \cdot \frac{9}{16}\) \(x = \frac{5 \cdot 3}{16}\) \(x = \frac{15}{16}\) Ответ: а) \(x = \frac{9}{25}\) б) \(x = \frac{15}{16}\)