Question

$( \frac{5}{3} ) + ( - \frac{1}{2} ) - ( - \frac{2}{3} )$

Answer 1

\ \ \ ( \frac{5}{2} -3) \div (1 \frac{1}{2} -\frac{2}{3})\\
\\=( \frac{5}{2} -\frac{6}{2}) \div (\frac{2\cdot1+1}{2} -\frac{2}{3})\\
\\=( \frac{5-6}{2}) \div (\frac{3}{2} -\frac{2}{3})\\ 
\\=(-\frac{1}{2}) \div (\frac{9}{6} -\frac{4}{6})\\
\\=-\frac{1}{2} \div (\frac{9-4}{6})\\
\\=-\frac{1}{2} \div \frac{5}{6}\\
\\=-\frac{1}{2} \cdot \frac{6}{5}\\
\\=-\frac{6^{:2}}{10_{:2}}\\ \\= -\frac{3}{5}\\