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\(\frac{1997x1996-1}{1995x1997+1996}\)
\(=\frac{1997x1996-1}{1995x1997+1997-1}\)
\(=\frac{1997x1996-1}{1997x\left(1995+1\right)-1}\)
\(=\frac{1997x1996-1}{1997x1996-1}\)
\(=1\)( vì tử số = mẫu số )
Tham khảo nha !!!
\(\frac{1997\times1996-1}{1995\times1997+1996}\)
= \(\frac{1997\times\left(1995+1\right)-1}{1995\times1997+1996}\)
= \(\frac{1997\times1995+1997-1}{1995\times1997+1996}\)
= \(\frac{1997\times1995+1996}{1995\times1997+1996}\)= 1
\(\frac{2010}{2011}< \frac{2011}{2012}\)
\(\frac{11}{12}=\frac{22}{24}\)
\(\frac{25}{30}>\frac{25}{49}\)
\(\frac{1}{5}< \frac{3}{8}\)
\(\frac{1995}{1997}< \frac{1995}{1996}\)
A 16X5X9X3X4/3X5X16X9X4=1/1=1
B 1996X1995-1996X1/1994X1+1995X1994
=1995X(1996-1)/1995X(1994+1)=1995X1995/1995X1995
=1/1=1
= \(\frac{1996\times\left(1994+1\right)-996}{1000+1996\times1994}=\frac{1996\times1994+1996-996}{1000+1996\times1994}\)
= \(\frac{1996\times1994+1000}{1000+1996\times1994}\)
= 1
\(\frac{1996X1997+1998X3}{1997X1999-1997X1997}\)=\(\frac{3986012+5994}{3992003-3988009}\)=\(\frac{3992006}{3994}\)=\(\frac{1996003}{1997}\)
1996 x 1997 + 1998 x \(\frac{3}{1997}\)x 1999 - 1997 x 1997
= 3986012 + \(\frac{5994}{1997}\)x 1999 - 1997 x 1997
= 3986012 + 6000003005 x 1999 - 1997 x 1997
= 3986012 + 1199400601 - 3988009
= 1203386613 - 3988009
= 1199398604
Ta có :
1 - 2008/2009 = 2009/2009 - 2008/2009 = 1/2009
1 - 1995/1996 = 1996/1996 - 1995/1996 = 1/1996
Vì 1/2009 < 1/1996 => 2008/2009 > 1995/1996