\[ \left(\frac{1}{3}-\frac{1}{2}\right): 1 \frac{2}{3} \] işleminin sonucu kaçtır? \( \begin{array}{llll}\text { A) } \frac{-1}{10} & \text { B) }-10 & \text { C) } 10 & \text { D) } \frac{1}{10}\end{array} \)

Calculate or simplify the expression \( (1/3-1/2)/(1+2/3) \). Calculate the value by following steps: - step0: Calculate: \(\frac{\left(\frac{1}{3}-\frac{1}{2}\right)}{\left(1+\frac{2}{3}\right)}\) - step1: Remove the parentheses: \(\frac{\frac{1}{3}-\frac{1}{2}}{1+\frac{2}{3}}\) - step2: Subtract the numbers: \(\frac{-\frac{1}{6}}{1+\frac{2}{3}}\) - step3: Add the numbers: \(\frac{-\frac{1}{6}}{\frac{5}{3}}\) - step4: Multiply by the reciprocal: \(-\frac{1}{6}\times \frac{3}{5}\) - step5: Reduce the numbers: \(-\frac{1}{2}\times \frac{1}{5}\) - step6: Multiply the fractions: \(-\frac{1}{2\times 5}\) - step7: Multiply: \(-\frac{1}{10}\) \[ \left(\frac{1}{3}-\frac{1}{2}\right): 1 \frac{2}{3} = -\frac{1}{10} = -0.1 \] Sonuç, -0.1 veya -1/10'dur. Bu nedenle, doğru cevap A) -1/10'dur.