2,34:0,39*(10,7-2,3):((8,9-5,7)*(2,11+1,04))

To solve the expression step-by-step, let's break it down while keeping track of the order of operations (parentheses, exponents, multiplication and division, addition and subtraction). The expression is: \[ 2.34 : 0.39 \times (10.7 - 2.3) : ((8.9 - 5.7) \times (2.11 + 1.04)) \] 1. Start by evaluating the expressions inside the parentheses: - \( 10.7 - 2.3 = 8.4 \) - \( 8.9 - 5.7 = 3.2 \) - \( 2.11 + 1.04 = 3.15 \) 2. Now substitute back into the expression: \[ 2.34 : 0.39 \times 8.4 : (3.2 \times 3.15) \] 3. Now calculate \( 3.2 \times 3.15 \): \[ 3.2 \times 3.15 = 10.08 \] 4. Substitute this back into the expression: \[ 2.34 : 0.39 \times 8.4 : 10.08 \] 5. Now we have: \[ 2.34 : 0.39 \times 8.4 : 10.08 \] 6. Let's compute \( 2.34 : 0.39 \): \[ 2.34 / 0.39 \approx 6 \] 7. Substitute this into the expression: \[ 6 \times 8.4 : 10.08 \] 8. Next, compute \( 6 \times 8.4 \): \[ 6 \times 8.4 = 50.4 \] 9. Substitute this back: \[ 50.4 : 10.08 \] 10. Finally, compute \( 50.4 : 10.08 \): \[ 50.4 / 10.08 \approx 5 \] Therefore, the result of the expression is: \[ 5 \]