\( 12.75 - 24.38 - ( 2.4 \times 4.32 \div 3.6 = 0.85 ) \)

Calculate the value by following steps: - step0: Calculate: \(12.75-24.38-\left(\frac{2.4\times 4.32}{3.6}\right)\) - step1: Multiply the numbers: \(12.75-24.38-\left(\frac{10.368}{3.6}\right)\) - step2: Divide the terms: \(12.75-24.38-\frac{72}{25}\) - step3: Subtract the numbers: \(-11.63-\frac{72}{25}\) - step4: Convert the expressions: \(-\frac{1163}{100}-\frac{72}{25}\) - step5: Reduce fractions to a common denominator: \(-\frac{1163}{100}-\frac{72\times 4}{25\times 4}\) - step6: Multiply the numbers: \(-\frac{1163}{100}-\frac{72\times 4}{100}\) - step7: Transform the expression: \(\frac{-1163-72\times 4}{100}\) - step8: Multiply the numbers: \(\frac{-1163-288}{100}\) - step9: Subtract the numbers: \(\frac{-1451}{100}\) - step10: Rewrite the fraction: \(-\frac{1451}{100}\) To solve the expression \( 12.75 - 24.38 - ( 2.4 \times 4.32 \div 3.6 ) \), we can break it down step by step. 1. **Calculate the multiplication and division inside the parentheses:** \[ 2.4 \times 4.32 = 10.368 \] Then divide by \( 3.6 \): \[ 10.368 \div 3.6 = 2.88 \] 2. **Substitute this value back into the expression:** \[ 12.75 - 24.38 - 2.88 \] 3. **Now, perform the subtraction step by step:** - First, calculate \( 12.75 - 24.38 \): \[ 12.75 - 24.38 = -11.63 \] - Then subtract \( 2.88 \): \[ -11.63 - 2.88 = -14.51 \] Thus, the final result of the expression is: \[ \boxed{-14.51} \]