Question

$( \frac{2}{3} - \frac{1}{2} ) \div ( \frac{2}{3} ) {}^{ - 3} + \frac{4}{3} + ( \frac{2}{4} ) {}^{ - 1}$
* Não foi possível colocar a chave [ ]*
A resposta correta é essa????
$- \frac{894}{243}$Como eu resolvo para dar está resposta?​

Answer 1

Resposta:

$(\frac{2}{3} -\frac{1}{2} ):\left[\begin{array}{c}(\frac{2}{3})^{-3} +\frac{4}{3} +(\frac{2}{4})^{-1} \end{array}\right] =\\\\ \\ \frac{4-3}{6}}:\left[\begin{array}{c}\frac{1}{(\frac{2}{3} )^{3} }} +\frac{4}{3} +\frac{1}{(\frac{2}{4} )^{1} }} \end{array}\right] =\\ \\ \\ \frac{1}{6}}:\left[\begin{array}{c}\frac{1}{(\frac{8}{27} ) }} +\frac{4}{3} +\frac{1}{(\frac{2}{4} )} }} \end{array}\right]=\\ \\ \\ \frac{1}{6} :(1.\frac{27}{8} +\frac{4}{3} +1.\frac{4}{2} )=$

$\frac{1}{6} :(\frac{27}{8} +\frac{4}{3} +\frac{4}{2} )=\\ \\ mmc=24\\ \\ \\ \frac{1}{6} :\frac{81+32+48}{24} =\\ \\ \\ \frac{1}{6} :\frac{161}{24} =\\ \\ \\ \frac{1}{6} .\frac{24}{161} =\\ \\ \\ \frac{24}{966}$

simplificando por 6...

$\frac{24}{966} =\frac{4}{161} \\ \\ \\ resposta:=\frac{4}{161}$