a) \(\left(3-\frac{1}{4}+\frac{2}{3}\right)-\left(5+\frac{1}{3}-\frac{6}{5}\right)-\left(6-\frac{7}{4}+\frac{3}{2}\right)\)
\(=3-\frac{1}{4}+\frac{2}{3}-5-\frac{1}{3}+\frac{6}{5}-6+\frac{7}{4}-\frac{3}{2}\)
\(=3-\frac{1}{4}+\frac{7}{4}-\frac{3}{2}+\frac{2}{3}-\frac{1}{3}-5+\frac{6}{5}-6\)
\(=3+\frac{3}{2}-\frac{3}{2}+\frac{1}{3}-11+\frac{6}{5}\)
\(=3+0+\frac{23}{15}-11\)
\(=\frac{68}{15}-\frac{165}{15}=\frac{-97}{15}.\)