分析:(1)根据减法的性质简算;
(2)先同时运算两个小括号里面的减法和乘法,再算括号外的除法;
(3)先把28分解成4×7,再运用乘法结合律简算;
(4)先把99分解成100-1,再运用乘法分配律简算;
(5)运用除法的性质简算;
(6)先算小括号里面的乘法,再算小括号里面的减法,最后算括号外的除法.
解答:解:(1)6854-(893+854+107),
=6854-854-(893+107),
=6000-1000,
=5000;
(2)(8300-6500)÷(15×60),
=1800÷900,
=2;
(3)28×19×25,
=4×7×19×25,
=(4×25)×(7×19),
=100×133,
=13300;
(4)327×99,
=327×(100-1),
=327×100-327×1,
=32700-327,
=32373;
(5)54000÷8÷125,
=54000÷(8×125),
=54000÷1000,
=54;
(6)(105×46-2427)÷27,
=(4830-2427)÷27,
=2403÷27,
=89.
点评:本题考查了四则混合运算,注意运算顺序和运算法则,灵活运用所学的运算定律进行简便计算.