(987+4097×986)÷(987×4097-3110)

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(987+4097×986)÷(987×4097-3110)(987+4097×986)÷(987×4097-3110)(987+4097×986)÷(987×4097-3110)因为4097-311

(987+4097×986)÷(987×4097-3110)
(987+4097×986)÷(987×4097-3110)

(987+4097×986)÷(987×4097-3110)
因为4097-3110=987,
  所以原式可变为:
  (4097-3110+4097×986)÷(987×4097-3110)
  =[(4097×(986+1)-3110]÷(987×4097-3110)
  =(4097×986-3110)÷(987×4097-3110)
  =1

令:a=987 b=4097 a-1=986 b-a=3100
因:a+b(a-1)/ab-(b-a)=a+ab-b/ab-b+a=1
所以(987+4097*986)÷(987*4097-3110)=1
以上回答你满意么?