\(\dfrac{15}{7}:\dfrac{7}{9}-\dfrac{4}{7}\times\dfrac{2}{9}-\dfrac{4}{7}\times\dfrac{4}{9}\)
\(=\dfrac{15}{7}\times\dfrac{9}{7}-\dfrac{4}{7}\times\dfrac{2}{9}-\dfrac{4}{7}\times\dfrac{4}{9}\)
\(=\dfrac{135}{49}-\dfrac{8}{63}-\dfrac{16}{63}\)
\(=\dfrac{1215}{441}-\dfrac{56}{441}-\dfrac{112}{441}\)
\(=\dfrac{1215-56-112}{441}\)
\(=\dfrac{1047}{441}=\dfrac{349}{147}\)
15/7 : 7/9 - 4/7 x 2/9 - 4/7 x 4/9
= 135/49 - 8/63 - 16/63
= 1159/441 - 16/63
= 1047/441 = 349/147