Question

Por favor alguém sabe qual a resolução?
(5/3-1/6)/(2-(1/2))

Answer 1

$\dfrac{\frac{5}{3}~-~\frac{1}{6}}{2~-~\frac{1}{2}}~=\\\\\\\rightarrow~O~MMC~entre~3~e~6~(numerador~da~expressao)~vale~6\\\rightarrow~O~MMC~entre~1~e~2~(denominador~da~expressao)~vale~2\\\\\\=~\dfrac{~~\frac{2~\cdot~5~-~1~\cdot~1}{6}~~}{\frac{2~\cdot~2~-~1~\cdot~1}{2}}\\\\\\=~\dfrac{~~\frac{10~-~1}{6}~~}{\frac{4~-~1}{2}}\\\\\\=~\dfrac{~\frac{9}{6}~}{\frac{3}{2}}\\\\\\Para~a~divisao~entre~fracoes,~repetimos~a~1^a~e~multiplicamos\\pelo~inverso~da~2^a\\\\\\=~\dfrac{9}{6}~\cdot~\dfrac{2}{3}$

$=~\dfrac{9~\cdot~2}{6~\cdot~3}\\\\\\=~\dfrac{18}{18}\\\\\\=~\boxed{~1~}$