2. Реши уравнение k - \frac{2}{5}k = 4,5.

Решим уравнение:

• \(k - \frac{2}{5}k = 4,5\)
• \(\frac{5}{5}k - \frac{2}{5}k = 4,5\)
• \(\frac{3}{5}k = 4,5\)
• \(k = 4,5 : \frac{3}{5}\)
• \(k = 4,5 \cdot \frac{5}{3}\)
• \(k = \frac{45}{10} \cdot \frac{5}{3}\)
• \(k = \frac{9}{2} \cdot \frac{1}{3} \cdot 5\)
• \(k = \frac{3}{2} \cdot 5\)
• \(k = \frac{15}{2}\)
• \(k = 7,5\)

Ответ: \(k = 7,5\)