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=\(\frac{1988x1996+1996+1996}{1996x\left(1997-1995\right)}\)=\(\frac{1996x\left(1988+2\right)}{1996x2}\)
=\(\frac{1996x1990}{1996x2}\)=\(\frac{1990}{2}\)=\(995\)
Hello!!!
= (1988 x 1996 + 1997 x 11 + 1985) : (1997 x 1996 - 1995 x 1996)
= (1988 x 1996 + (1996 + 1) x 11 + 1985) : (1996 x (1997 - 1995))
= (1988 x 1996 + 1996 x 11 + (11 + 1985)) : (1996 x 2)
= (1996 x (1988 + 11) + 1996 : (1996 x 2)
= (1996 x 1999 + 1996) : (1996 x 2)
= (1996 x 1999 + 1996 x 1) : (1996 x 2)
= (1996 x (1999 + 1)) : (1996 x 2)
= 1996 x 2000 : 1996 x 2
= 2000 : 2
= 1000.
\(\dfrac{1998\times1996+1997\times11+1985}{1997\times1996-1995\times1996}\\ =\dfrac{1998\times1996+\left(1996+1\right)\times11+1985}{\left(1997-1995\right)\times1996}\\ =\dfrac{1998\times1996+1996\times11+11+1985}{2\times1996}\\ =\dfrac{1996\times1998+1996\times11+1996}{2\times1996}\\ =\dfrac{1996\times\left(1998+11+1\right)}{2\times1996}\\ =\dfrac{1996\times2010}{2\times1996}\\ =\dfrac{2010}{2}\\ =1005\)
\(...=\dfrac{1998x1996+1996+1+1996-1}{\left(1997-1995\right)x1996}\)
\(=\dfrac{1998x1996+2x1996}{2x1996}=\dfrac{1996\left(1998+2\right)}{2x1996}=\dfrac{2000}{2}=1000\)
1998x1996+1997x11+1985/1997x1996-1995x1996 = 2939,00600901352028042063094642 (sử dụng máy tính là nhanh nhất)
\(\dfrac{1998.1996+1997+1995}{1997.1996-1995.1996}\)
\(=\dfrac{1998.1996}{1997.1996-1995.1996}+\dfrac{1997+1995}{1997.1996-1995.1996}\)
\(=\dfrac{1998.1996}{1996\left(1997-1995\right)}-\dfrac{1997-1995}{1996\left(1997-1995\right)}\)
\(=\dfrac{1998}{1997-1995}-\dfrac{1}{1996}\)
\(=\dfrac{1998}{2}-\dfrac{1}{1996}\)
\(=999-\dfrac{1}{1996}\)
\(\approx998,99\)
1000