\(3\dfrac{1}{2}+15\dfrac{4}{9}:\dfrac{26}{7}-2\dfrac{4}{9}:\dfrac{26}{7}\)
\(=\dfrac{7}{2}+\dfrac{139}{9}:\dfrac{26}{7}-\dfrac{22}{9}:\dfrac{26}{7}\)
\(=\dfrac{7}{2}+\left(\dfrac{139}{9}-\dfrac{22}{9}\right):\dfrac{26}{7}\)
\(=\dfrac{7}{2}+13:\dfrac{26}{7}\)
\(=\dfrac{7}{2}+\dfrac{7}{2}\)
\(=7.\)
\(3\dfrac{1}{2}+15\dfrac{4}{9}:\dfrac{26}{7}-2\dfrac{4}{9}:\dfrac{26}{7}\)
=\(\dfrac{7}{2}+\dfrac{139}{9}:\dfrac{26}{7}-\dfrac{22}{9}:\dfrac{26}{7}\)
=\(\dfrac{7}{2}+\left(\dfrac{139}{9}-\dfrac{22}{9}\right):\dfrac{26}{7}\)
=\(\dfrac{7}{2}+13:\dfrac{26}{7}\)
=\(\dfrac{7}{2}+13.\dfrac{7}{26}\)
=\(\dfrac{7}{2}+\dfrac{7}{2}\)
= 7