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a) \(\dfrac{1997x1996-1}{1995x1997+1996}=\dfrac{1997x\left(1995+1\right)-1}{1995x1997+1996}\)
\(=\dfrac{1997x1995+1997-1}{1995x1997+1996}=\dfrac{1997x1995+1996}{1995x1997+1996}=1\)
b) \(\dfrac{1997x1996-995}{1995x1997+1002}=\dfrac{1997x\left(1995+1\right)-995}{1995x1997+1002}\)
\(=\dfrac{1997x1995+1997-995}{1995x1997+1002}=\dfrac{1997x1995+1002}{1995x1997+1002}=1\)
a)37/53x23/48x535353/373737x242424/232323
=37/53x23/48x53/37x24/23
=851/2544x1272/851
=1/2
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\(\frac{1997\times1996-1}{1995\times1997+1996}=\frac{1997\times\left(1995+1\right)-1}{1995\times1997+1996}=\frac{1997\times1995+1997-1}{1995\times1997+1996}=\frac{1997\times1995+1996}{1995\times1997+1996}\)
\(=1\)
\(\frac{1997\times1996-1}{1995\times1997+1996}=\frac{1997\times\left(1995+1\right)-1}{1995\times1997+1996}=\frac{1997\times1995+1997-1}{1995\times1997+1996}\)
\(=\frac{1997\times1995+1996}{1995\times1997+1996}=1\)
Ta có : ( 1998 * 1996 + 1997 * 11 + 1985 ) / ( 1997 * 1996 - 1995 * 1996 ) .
= ( 1998 * 1997 - 1998 + 1997 * 11 + 1985 ) / 1996 * ( 1997 - 1995 ) .
= [ 1997 * ( 1998 + 11 ) - 1998 + 1985 ] / 1996 * 2 .
= [ 1997 * 2009 - 13 ] / 1996 * 2 .
= [ 1996 * 2009 + 2009 - 13 ] / 1996 * 2 .
= [ 1996 * 2009 + 1996 ] / 1996 * 2 .
= [ 1996 * ( 2009 + 1 ) / 1996 * 2 .
= 1996 * 2010 / 1996 * 2 .
= 1005 .
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