Question

\(\dfrac{-5}{9}+\dfrac{5}{9}:\left(3\dfrac{1}{3}-1\dfrac{2}{3}\right)\)

Answer 1

\(=\dfrac{-5}{9}+\dfrac{5}{9}:\left(3+\dfrac{1}{3}-1-\dfrac{2}{3}\right)\)
\(=\dfrac{-5}{9}+\dfrac{5}{9}:\left(2-\dfrac{1}{3}\right)\)

\(=\dfrac{-5}{9}+\dfrac{5}{9}:\dfrac{5}{3}\)

\(=\dfrac{-5}{9}+\dfrac{5}{9}\cdot\dfrac{3}{5}+\dfrac{-5}{9}+\dfrac{3}{9}=\dfrac{-2}{9}\)

Answer 2

`[-5]/9+5/9:(3 1/3-1 2/3)`

`=[-5]/9+5/9:(10/3-5/3)`

`=[-5]/9+5/9:5/3`

`=[-5]/9+5/9 . 3/5`

`=[-5]/9+3/9`

`=[-2]/9`