Question

8/9 ÷ 2/3 x 1/2 -1/6

Answer 1

$\dfrac{8}{9}: \dfrac{2}{3}* \dfrac{1}{2}- \dfrac{1}{6}= \\ \\ \\ \dfrac{8*3}{9*2}}* \dfrac{1}{2}- \dfrac{1}{6}= \\ \\ \\ \dfrac{24}{18}}* \dfrac{1}{2}- \dfrac{1}{6}= \\ \\ \\ \dfrac{4}{3}}* \dfrac{1}{2}- \dfrac{1}{6}= \dfrac{4*1}{3*2}}- \dfrac{1}{6}= \dfrac{4}{6}}- \dfrac{1}{6}= \dfrac{4-1}{6}}= \dfrac{3}{6}= \boxed{ \boxed{ \frac{1}{2}}}$

Answer 2

$\frac{ \frac{8}{9}}{\frac{2}{3}} . \frac{1}{2} - \frac{1}{6} \\ \\ \frac{8}{9} . \frac{3}{2} . \frac{1}{2} - \frac{1}{6} \\ \\ \frac{2}{3} - \frac{1}{6} = \frac{4 - 1}{6} = \frac{3}{6} = \frac{1}{2}$