Question

1998x1996+1997x11+1985/1997x1996-1995x1996

Answer 1

\(\dfrac{1998\times1996+1997\times11+1985}{1997\times1996-1995\times1996}\\ =\dfrac{1998\times1996+\left(1996+1\right)\times11+1985}{\left(1997-1995\right)\times1996}\\ =\dfrac{1998\times1996+1996\times11+11+1985}{2\times1996}\\ =\dfrac{1996\times1998+1996\times11+1996}{2\times1996}\\ =\dfrac{1996\times\left(1998+11+1\right)}{2\times1996}\\ =\dfrac{1996\times2010}{2\times1996}\\ =\dfrac{2010}{2}\\ =1005\)