`8 2 / 7 - ( 3 4 / 9 + 4 2 / 7 )`
`= 8 2 / 7 - 3 4 / 9 - 4 2 / 7`
`=( 8 2 / 7 - 4 2 / 7 ) - 3 4 / 9`
`= 4 - 31 / 9`
`= 36 / 9 - 31 / 9`
`= 5 / 9`
\(8\dfrac{2}{7}-3\dfrac{4}{9}-4\dfrac{2}{7}=\left(8\dfrac{2}{7}-4\dfrac{2}{7}\right)-3\dfrac{4}{9}=\left[\left(8-4+\left(\dfrac{2}{7}-\dfrac{2}{7}\right)\right)\right]-3\dfrac{4}{9}=\left[4+0\right]-3\dfrac{4}{9}=4-3\dfrac{4}{9}=\dfrac{5}{9}\)