Question

Resolvendo e simplificando a expressão:

A) 6/5

B) 2/15

C) 5/4

D) -4/5

E) 2/5

Answer 1

$[1+(\frac{1}{5}-2)\div3]\div(1-\frac{2}{3}) \\ [1+(\frac{1 - 10}{5})\div3]\div(\frac{3 - 2}{3}) \\ [1+( - \frac{ 9}{5})\div3]\div(\frac{1}{3})$

$[1+( - \frac{ 9}{5}). \frac{1}{3} ]\div(\frac{1}{3}) \\ [1+( - \frac{ 3}{5}) ]\div(\frac{1}{3}) \\ [( \frac{ 5 - 3}{5}) ]\div(\frac{1}{3})$

$[( \frac{ 2}{5}) ]\div(\frac{1}{3}) \\ \frac{ 2}{5}.3 = \boxed{\boxed{\mathsf{\dfrac{6}{5} }}}$

$\texttt{Alternativa\,a}$