Ta có : \(\frac{1995.1996-1997}{1995.1994+1993}\times\frac{6}{5}\)
\(=\frac{1995.\left(1994+2\right)-1997}{1995.1994+1993}\times\frac{6}{5}\)
\(=\frac{1995.1994+1995.2-1997}{1995.1994+1993}\times\frac{6}{5}\)
\(=\frac{1995.1994+3990-1997}{1995.1994+1993}\times\frac{6}{5}\)
\(=\frac{1996.1994+1993}{1995.1994+1993}\times\frac{6}{5}\)
\(=1\times\frac{6}{5}\)
\(=\frac{6}{5}\)
\(=\frac{1995\cdot1996-1996-1}{1995\cdot1994+1994-1}\cdot\frac{6}{5}=\frac{\left(1995-1\right)\cdot1996-1}{\left(1995+1\right)\cdot1994-1}\cdot\frac{6}{5}\)
\(=\frac{1994\cdot1996-1}{1996\cdot1994-1}\cdot\frac{6}{5}=\frac{6}{5}\)
