a.\(\frac{2001.2002-1}{400.2002+4002}\)
\(=\frac{2000}{4000+4002}\)
\(=\frac{2000}{8002}=\frac{1000}{4001}\)
b.\(\frac{1999.2000-1}{1998.1999+3997}\)
\(=\frac{2000-1}{1998+3997}\)
\(=\frac{1999}{5995}\)
a) \(\frac{2001.2002-1}{2001.2002-1+1999.2002+4003}=\frac{2001.2002-1}{\left(2001.2002-1\right)+1999.2002+4004-1}\)
\(=\frac{2001.2002-1}{\left(2001.2002-1\right)+2002.\left(1999+2\right)-1}\)
\(=\frac{2001.2002-1}{\left(2001.2002-1\right)+2002.2001-1}=\frac{1.\left(2001.2002-1\right)}{\left(2001.2002-1\right).2}\)
= 1/2
b) \(\frac{1999.2000-1}{1998.1999+3997}=\frac{1999.2000-1}{1998.1999+3998-1}\)
\(=\frac{1999.2000-1}{1999.\left(1998+2\right)-1}=\frac{1999.2000-1}{1999.2000-1}=1\)
a. 2001.2002 - 1 /4000.2002+4002 = 4006002 - 1/8008000 + 4002 =4006001+8012002= 12018003
b.1999.2000 - 1/ 1998.1999+3997= 3998000 - 1/3994002+ 3997 = 3997999/3997999
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