-2/3 +(-1 /1/2)+(-2,4)

To simplify the expression \(-\frac{2}{3} + \left(-\frac{1}{1/2}\right) + (-2.4)\), follow these steps: 1. **Convert \( -\frac{1}{1/2} \)**: \( -\frac{1}{1/2} = -\frac{1}{\frac{1}{2}} = -2 \). 2. **Rewrite the expression**: Now the expression becomes: \[ -\frac{2}{3} + (-2) + (-2.4) \] or \[ -\frac{2}{3} - 2 - 2.4 \] 3. **Convert the integers to fractions**: To add all the terms together, convert \(-2\) and \(-2.4\) into fractions: - \(-2 = -\frac{6}{3}\) (since \(-2\) can be expressed as \(-\frac{6}{3}\)). - \(-2.4 = -\frac{24}{10} = -\frac{12}{5}\). 4. **Find a common denominator**: The common denominator for the fractions \(-\frac{2}{3}\) and \(-\frac{12}{5}\) is 15. - Convert \(-\frac{2}{3}\): \[ -\frac{2}{3} = -\frac{2 \times 5}{3 \times 5} = -\frac{10}{15} \] - Convert \(-\frac{6}{3}\): \[ -\frac{6}{3} = -\frac{6 \times 5}{3 \times 5} = -\frac{30}{15} \] - Convert \(-\frac{12}{5}\): \[ -\frac{12}{5} = -\frac{12 \times 3}{5 \times 3} = -\frac{36}{15} \] 5. **Combine the fractions**: Now we can combine them: \[ -\frac{10}{15} - \frac{30}{15} - \frac{36}{15} = -\frac{10 + 30 + 36}{15} = -\frac{76}{15} \] 6. **Final answer**: The simplified result of \(-\frac{2}{3} + (-2) + (-2.4)\) is: \[ -\frac{76}{15} \] So, the final answer is \(-\frac{76}{15}\).