2,8*(4,9678+17,0143)-8,591:(7,1-5,68)

To solve the expression \( 2.8 \times (4.9678 + 17.0143) - \frac{8.591}{(7.1 - 5.68)} \), we can follow the order of operations ( parentheses, exponents, multiplication and division, addition and subtraction).

1. First, calculate the expression inside the first parentheses: \[ 4.9678 + 17.0143 = 22.9821 \]

2. Now, calculate the multiplication: \[ 2.8 \times 22.9821 = 64.35388 \]

3. Next, calculate the expression inside the second parentheses: \[ 7.1 - 5.68 = 1.42 \]

4. Now, calculate the division: \[ \frac{8.591}{1.42} \approx 6.046 \]

5. Finally, combine the results by subtracting: \[ 64.35388 - 6.046 \approx 58.30788 \]

Thus, the final result is approximately \( 58.30788 \).