(1999*99+2000*100+1999+2000_1900)/4000

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(1999*99+2000*100+1999+2000_1900)/4000
(1999*99+2000*100+1999+2000_1900)/4000

(1999*99+2000*100+1999+2000_1900)/4000
(1999*99+2000*100+1999+2000-1900)/4000
=[(1999×99+1999)+2000×100+(2000-1900)]/4000
=[1999×(99+1)+2000×100+100]/4000
=(1999×100+2000×100+100)/4000
=[100×(1999+2000+1)]/4000
=(100×4000)/4000
=100