Step-by-step explanation:
[tex] - \frac{2}{3} + 1 \frac{5}{6} + ( - \frac{3}{2} )[/tex]
[tex] = 1 \frac{5}{6} - \frac{2}{3} - \frac{3}{2} [/tex]
[tex] = \frac{11}{6} - (\frac{2}{3} + \frac{3}{2} )[/tex]
[tex] = \frac{11}{6} - ( \frac{4 + 9}{6} )[/tex]
[tex] = \frac{11}{6} - \frac{13}{6} [/tex]
[tex] = \frac{11 - 13}{6} [/tex]
[tex] = \frac{ - 2}{6} [/tex]
After simplifying,
[tex] = \frac{ - 1}{3} (ans)[/tex]