解题思路:先化简原分数为
12×(77+78+79+80)−77+79+160
12×(76+77+78+79)−76+78+158
=[327.5/323.33],那么100A=100×[327.5/323.33]=[32750/323.33]≈101.3
所以整数为101.
A=[11×77+12×78+13×79+14×80/11×76+12×77+13×78+14×79]
=
12×(77+78+79+80)−77+79+160
12×(76+77+78+79)−76+78+158
=[12×314+162/12×30+160]
=
12×(314+13.5)
12×(310+13.33)
=[327.5/323.33]
100A=100×[327.5/323.33]=[32750/323.33]≈101.3
100A的整数部分是101.
故答案为:101.
点评:
本题考点: 分数的巧算.
考点点评: 此题解答的关键在于运用运算技巧化简繁分数,进而解决问题.