\(\frac{7}{4}\times\frac{15}{7}+\frac{13}{7}\times\frac{9}{4}-\frac{2}{7}\)
\(=\left(\frac{7}{4}+\frac{9}{4}\right)\times\left(\frac{15}{7}+\frac{13}{7}\right)-\frac{2}{7}\)
\(=4\times4-\frac{2}{7}\)
\(=16-\frac{2}{7}\)
\(=\frac{112}{7}-\frac{2}{7}\)
\(=\frac{110}{7}\)