K - 2/5 k = 4,5

To solve the equation \( K - \frac{2}{5}K = 4.5 \), we can start by combining like terms on the left side of the equation:

1. Combine \( K \) and \( -\frac{2}{5}K \): \[ K - \frac{2}{5}K = \frac{5}{5}K - \frac{2}{5}K = \frac{3}{5}K \]

2. Now, the equation becomes: \[ \frac{3}{5}K = 4.5 \]

3. To isolate \( K \), multiply both sides by the reciprocal of \(\frac{3}{5}\), which is \(\frac{5}{3}\): \[ K = 4.5 \times \frac{5}{3} \]

4. Calculate \( 4.5 \times \frac{5}{3} \): \[ K = 4.5 \times \frac{5}{3} = \frac{4.5 \times 5}{3} = \frac{22.5}{3} = 7.5 \]

So, the solution is: \[ K = 7.5 \]