1. а) \(- \frac{1}{5} + \frac{1}{10}\) : \(\frac{1}{5}\) \\ б) \(\frac{1}{5} - \frac{1}{10}\) : 2 \\ в) \(\frac{1}{5} + \frac{1}{10}\) : 3 \\ г) \(\frac{1}{5} - \frac{1}{10}\) : 2

Решение:

1. а)
   

   \[ (\frac{1}{5} + \frac{1}{10}) : \frac{1}{5} = (\frac{2}{10} + \frac{1}{10}) : \frac{1}{5} = \frac{3}{10} : \frac{1}{5} = \frac{3}{10} \times 5 = \frac{15}{10} = \frac{3}{2} = 1.5 \]

2. б)
   

   \[ (\frac{1}{5} - \frac{1}{10}) : 2 = (\frac{2}{10} - \frac{1}{10}) : 2 = \frac{1}{10} : 2 = \frac{1}{10} \times \frac{1}{2} = \frac{1}{20} = 0.05 \]

3. в)
   

   \[ (\frac{1}{5} + \frac{1}{10}) : 3 = (\frac{2}{10} + \frac{1}{10}) : 3 = \frac{3}{10} : 3 = \frac{3}{10} \times \frac{1}{3} = \frac{3}{30} = \frac{1}{10} = 0.1 \]

4. г)
   

   \[ (\frac{1}{5} - \frac{1}{10}) : 2 = (\frac{2}{10} - \frac{1}{10}) : 2 = \frac{1}{10} : 2 = \frac{1}{10} \times \frac{1}{2} = \frac{1}{20} = 0.05 \]

Ответ:

• а) 1.5
• б) 0.05
• в) 0.1
• г) 0.05