Answer:
[tex]=-1\frac{1}{6}[/tex]
Step-by-step explanation:
[tex]1\frac{1}{2}-2\frac{2}{3}\\\\\mathrm{Convert\:mixed\:numbers\:to\:improper\:fractions}:\\\quad 1\frac{1}{2}=\frac{3}{2}\\\\\frac{3}{2}-2\frac{2}{3}\\\\\mathrm{Convert\:mixed\:numbers\:to\:improper\:fractions}:\\\quad 2\frac{2}{3}=\frac{8}{3}\\\\\frac{3}{2}-\frac{8}{3}\\\\\mathrm{Least\:Common\:Multiplier\:of\:}2,\:3:\quad 6\\\mathrm{Adjust\:Fractions\:based\:on\:the\:LCM}\\\\=\frac{9}{6}-\frac{16}{6}\\\\=\frac{9-16}{6}\\\\=\frac{-7}{6}\\\\=-\frac{7}{6}=-1\frac{1}{6}[/tex]
