Question

Efetue as operações e simplifique o resultado quando possível: [2-1/3÷(1/2÷3/2-4/3)]

Answer 1

   $\frac{2-\frac{1}{3}}{\frac{\frac{1}{2}}{\frac{3}{2}-\frac{4}{3}}}=$

$=\frac{\frac{6}{3}-\frac{1}{3}}{\frac{\frac{1}{2}}{\frac{9}{6}-\frac{8}{6}}}=$

$=\frac{\frac{5}{3}}{\frac{\frac{1}{2}}{\frac{1}{6}}}=$

$=\frac{\frac{5}{3}}{{\frac{1*6}{2*1}}}=$

$=\frac{\frac{5}{3}}{{\frac{6}{2}}}=$

$=\frac{\frac{5}{3}}{{3}}=$

$={\frac{5}{9}$