Задача Задача №2993052
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To evaluate the expression \((-0.5 + \frac{2}{3}) : 3.2\), we follow these steps:
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: \[ -\frac{3}{6} + \frac{4}{6} = \frac{1}{6} \]
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: \[ \frac{5}{96} \]