(14-12,725) · 12,4-2,6:(11,2-7,95) =15,01

To solve the expression \((14 - 12.725) \cdot 12.4 - 2.6 : (11.2 - 7.95)\) and verify if it equals 15.01, we need to perform the operations step-by-step, following the order of operations (parentheses, exponents, multiplication and division from left to right, addition and subtraction from left to right).

1. Calculate inside the parentheses:

   • \(14 - 12.725 = 1.275\)
   • \(11.2 - 7.95 = 3.25\)

2. Rewrite the expression: Now the expression looks like this: \[ (1.275) \cdot 12.4 - 2.6 : (3.25) \]

3. Calculate the multiplication:

   • \(1.275 \cdot 12.4 = 15.81\)

4. Calculate the division:

   • \(2.6 : 3.25 = 2.6 / 3.25 \approx 0.8\)

5. Subtract the results: Now the expression is: \[ 15.81 - 0.8 \] Calculate the value: \[ 15.81 - 0.8 = 15.01 \]

Thus, the entire expression evaluates to 15.01. The calculation is correct.