a)\(\frac{1978x1979+1980x21+1958}{1980x1979-1978x1979+100}\)
\(=\frac{1978x1979+\left(1+1979\right)x21+1958}{\left(1980-1978\right)x1979+100}\)
\(=\frac{1978x1979+1979x21+21+1958}{2x1979+2x50}\)
\(=\frac{1979x\left(1978+21\right)+\left(21+1958\right)}{2x\left(1979+50\right)}\)
\(=\frac{1979x1999+1979x1}{2x2029}\)
\(=\frac{1979x2000}{2x2029}\)
\(=\frac{1979000}{2029}\)