(-0,5+2/3):3,2

To evaluate the expression \((-0.5 + \frac{2}{3}) : 3.2\), we follow these steps: 1. Calculate \(-0.5 + \frac{2}{3}\): - Convert \(-0.5\) to a fraction: \(-0.5 = -\frac{1}{2}\). - Find a common denominator for \(-\frac{1}{2}\) and \(\frac{2}{3}\). The common denominator is 6. - Convert each fraction: - \(-\frac{1}{2} = -\frac{3}{6}\) - \(\frac{2}{3} = \frac{4}{6}\) - Now add the fractions: \[ -\frac{3}{6} + \frac{4}{6} = \frac{1}{6} \] 2. Now, divide \(\frac{1}{6}\) by \(3.2\): - First, convert \(3.2\) to a fraction: \(3.2 = \frac{32}{10} = \frac{16}{5}\). - Now we need to calculate: \[ \frac{1}{6} : \frac{16}{5} = \frac{1}{6} \times \frac{5}{16} = \frac{5}{96} \] So, the final result is: \[ \frac{5}{96} \]