2. (3 балла) Решите уравнение: a) \(1\frac{1}{3}x = \frac{20}{9}\); б) \(\frac{21}{5}y = \frac{33}{10}\); в) \(5x = \frac{7}{15}\).

a) \(1\frac{1}{3}x = \frac{20}{9}\)

\(\frac{4}{3}x = \frac{20}{9}\)

\(x = \frac{20}{9} : \frac{4}{3}\)

\(x = \frac{20}{9} \cdot \frac{3}{4}\)

\(x = \frac{20 \cdot 3}{9 \cdot 4}\)

\(x = \frac{5 \cdot 1}{3 \cdot 1}\)

\(x = \frac{5}{3} = 1\frac{2}{3}\)

б) \(\frac{21}{5}y = \frac{33}{10}\)

\(y = \frac{33}{10} : \frac{21}{5}\)

\(y = \frac{33}{10} \cdot \frac{5}{21}\)

\(y = \frac{33 \cdot 5}{10 \cdot 21}\)

\(y = \frac{11 \cdot 1}{2 \cdot 7}\)

\(y = \frac{11}{14}\)

в) \(5x = \frac{7}{15}\)

\(x = \frac{7}{15} : 5\)

\(x = \frac{7}{15} \cdot \frac{1}{5}\)

\(x = \frac{7}{75}\)

Ответ: a) \(1\frac{2}{3}\); б) \(\frac{11}{14}\); в) \(\frac{7}{75}\)