276.1) \(\frac{\frac{1}{2}+0,4+0,375}{\frac{2}{3}}\cdot\frac{2}{5}\)

Let's solve this step-by-step!

1. First, let's simplify the numerator:

   \[ \frac{1}{2} + 0.4 + 0.375 = 0.5 + 0.4 + 0.375 = 1.275 \]

2. Now, let's deal with the fraction in the numerator:

   \[ \frac{1.275}{\frac{2}{3}} = 1.275 \times \frac{3}{2} = \frac{1275}{1000} \times \frac{3}{2} = \frac{51}{40} \times \frac{3}{2} = \frac{153}{80} \]

3. Finally, multiply by the last fraction:

   \[ \frac{153}{80} \times \frac{2}{5} = \frac{153}{40} \times \frac{1}{5} = \frac{153}{200} \]

Answer: \(\frac{153}{200}\)