Let's solve the expression step by step, starting from the top and breaking down each part.
Numerator: \( (2.75 \times \frac{3}{5} + \frac{2.2}{1}) \times \frac{1}{11} \)
Calculate \( 2.75 \times \frac{3}{5} \): \[ 2.75 \times 0.6 = 1.65 \]
Add \( 1.65 + 2.2 \): \[ 1.65 + 2.2 = 3.85 \]
Now, multiply by \( \frac{1}{11} \): \[ 3.85 \times \frac{1}{11} \approx 0.3500 \]
Denominator: \( \left( \frac{39}{40} - 0.575 \right) \div \left( \frac{4}{5} \right) \times 0.8 \)
Calculate \( \frac{39}{40} - 0.575 \): Convert \( 0.575 \) into a fraction: \[ 0.575 = \frac{575}{1000} = \frac{23}{40} \] Now calculate the subtraction: \[ \frac{39}{40} - \frac{23}{40} = \frac{16}{40} = \frac{2}{5} \]
Divide by \( \frac{4}{5} \): \[ \frac{2}{5} \div \frac{4}{5} = \frac{2}{5} \times \frac{5}{4} = \frac{2}{4} = \frac{1}{2} \]
Finally multiply by \( 0.8 \): \[ \frac{1}{2} \times 0.8 = 0.4 \]
Final Calculation: Now that we have the numerator and denominator: \[ \frac{0.3500}{0.4} = 0.875 \]
Thus, the final answer is approximately \( 0.875 \).