- 1\3 + ( - 2 1\2 ) + (- 2,6

To solve the expression \(-\frac{1}{3} + (-2\frac{1}{2}) + (-2.6)\), we first convert all terms to a common format (decimals or fractions). 1. Convert \(-2\frac{1}{2}\) to decimal: \[ -2\frac{1}{2} = -2 - 0.5 = -2.5 \] 2. Now, let's rewrite the entire expression with decimals: \[ -\frac{1}{3} + (-2.5) + (-2.6) \] 3. Convert \(-\frac{1}{3}\) to decimal: \[ -\frac{1}{3} \approx -0.333 \] 4. Now the expression is: \[ -0.333 + (-2.5) + (-2.6) \] 5. Combine the negative values: \[ -0.333 - 2.5 - 2.6 \] 6. Start combining them two at a time: \[ -0.333 - 2.5 = -2.833 \] \[ -2.833 - 2.6 = -5.433 \] Thus, the result of the expression is approximately: \[ -5.433 \]