\(a,\frac{35}{4}-\frac{5}{8}+\frac{5}{2}\)
\(=\frac{70}{8}-\frac{5}{8}+\frac{20}{4}\)
\(=\frac{65}{8}+\frac{20}{8}\)
\(=\frac{85}{8}\)
\(b,\frac{15}{2}+\frac{14}{5}:\frac{6}{5}-\frac{7}{4}\)
\(=\frac{15}{2}+\frac{14}{5}.\frac{5}{6}-\frac{7}{4}\)
\(=\frac{15}{2}+\frac{7}{3}-\frac{7}{4}\)
\(=\frac{90}{12}+\frac{28}{12}-\frac{21}{12}\)
\(=\frac{118}{12}-\frac{21}{12}\)
\(=\frac{97}{12}\)