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(2002+1)x14+1988+2001x2002
2002x(1+503+504)
2002x14+14+1988+2001x2002
2002x1008
2002x14+2002+2001x2002
2002x1008
2002x(14+2001+1)
2002x1008
2002x2016
2002x1008
2
1
(2003*14+1988+2001*2002) / ( 2002 + 2002 * 503 + 2002 * 504 )
=4036042:2018016
=2
1988 x 1996 + 1997 x 11 + 1985
= 1988 x1996 + 1996 x 22 + 1985
= 1996 x ( 1988 + 22 ) + 1985
= 1996 x 2000 + 1985
= 3992000 + 1985
= 3993985
\(a,\frac{2001}{2002}.\frac{5}{7}.\frac{2002}{5}.\frac{7}{2001}=\left(\frac{2001}{2002}.\frac{7}{2001}\right).\left(\frac{5}{7}.\frac{2002}{5}\right)\)
\(=\frac{7}{2002}.\frac{2002}{7}=1\)
\(b,\frac{5}{7}.\frac{7}{9}.\frac{9}{11}.\frac{11}{13}=\left(\frac{5}{7}.\frac{7}{9}\right).\left(\frac{9}{11}.\frac{11}{13}\right)=\frac{5}{9}.\frac{9}{13}\)
\(=\frac{5}{13}\)
\(\frac{2003x14+1988+2001x2002}{2002+2002x503+504x2002}\)= \(\left(\frac{2003x14+1988}{2002+2002x503}\right)+\frac{2001x2002}{504x2002}\) = \(\frac{5}{168}+\frac{667}{168}\)= \(\frac{672}{168}=4\)