\(d)8\dfrac{2}{7}-\left(3\dfrac{4}{9}+4\dfrac{2}{7}\right)\)
\(=\dfrac{8.7+2}{7}-\left(\dfrac{3.9+4}{9}+\dfrac{4.7+2}{7}\right)\)
\(=\dfrac{58}{7}-\left(\dfrac{31}{9}+\dfrac{30}{7}\right)\)
\(=\dfrac{58}{7}-\dfrac{31}{9}-\dfrac{30}{7}\)
\(=\left(\dfrac{58}{7}-\dfrac{30}{7}\right)-\dfrac{31}{9}\)
\(=\left(\dfrac{58-30}{7}\right)-\dfrac{31}{9}\)
\(=\dfrac{28}{7}-\dfrac{31}{9}\)
\(=\dfrac{28.9}{7.9}-\dfrac{31.7}{9.7}\)
\(=\dfrac{252}{63}-\dfrac{217}{63}\)
\(=\dfrac{252-217}{63}\)
\(=\dfrac{35}{63}\)
\(=\dfrac{5}{9}\)
=\(\dfrac{58}{7}\)-\((\dfrac{31}{9}\)+\(\dfrac{30}{7})\)
=\(\dfrac{58}{7}\)-\(\dfrac{31}{9}\)-\(\dfrac{30}{7}\)
=(\(\dfrac{58}{7}\)-\(\dfrac{30}{7}\))-\(\dfrac{31}{9}\)
=4-\(\dfrac{31}{9}\)
=\(\dfrac{5}{9}\)