解:(1)65.5+65.5×99,
=65.5×(99+1),
=65.5×100,
=6550;
(2)

×[1÷(

+

)],
=

×[1÷

],
=

×

,
=

;
(3)

÷

÷

,
=

×

×15,
=8;
(4)2.25×1.8+12.5×0.18,
=22.5×0.18+12.5×0.18,
=(22.5+12.5)×0.18,
=35×0.18,
=6.3;
(5)2÷

×

÷2,
=2×

×

×

,
=1.
分析:(1)运用乘法分配律简算;
(2)先算小括号内的,再算中括号内的,最后算括号外的;
(3)把除法改为乘法,约分计算;
(4)根据数字特点,把原式变为22.5×0.18+12.5×0.18,运用乘法分配律简算;
(5)把除法改为乘法,约分计算.
点评:此题是考查四则混合运算,注意运算顺序,仔细观察算式的特点,灵活运用一些定律进行简便计算.