(2002+20022002+20022002002)/(2001+20012001+200120012001)=

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(2002+20022002+20022002002)/(2001+20012001+200120012001)=

(2002+20022002+20022002002)/(2001+20012001+200120012001)=
(2002+20022002+20022002002)/(2001+20012001+200120012001)=

(2002+20022002+20022002002)/(2001+20012001+200120012001)=
设2002=a,2001=b,则
(2002+20022002+20022002002)/(2001+20012001+200120012001)=
(a+a+10000a+a+10000+100000000a)/(b+b+10000b+b+10000b+100000000b)=
100020002a÷100020002b=a÷b=2002/2001

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(2002+20022002+20022002002)/(2001+20012001+200120012001)= 2002/2001

(2002+20022002+20022002002)/(2001+20012001+200120012001)
= 2002×(1+10001+100010001)/2001×(1+10001+100010001)
=2002/2001  (1+10001+100010001与1+10001+100010001约掉)
=1又1/2001

2002×(1+10001+100010001+1000100010001)/2001×(1+10001+100010001+1000100010001)
=(1+10001+100010001+1000100010001)相互抵消
=2002/2001