解:(1)2.52×[5

-1.75×(

+

)],
=

×[5

-

×

],
=

×[5

-

],
=

×

,
=

,
=6.93;
(2)(

+

+

)÷(

+

)-

,
=(

+

+

)÷(

+

)-

,
=

÷

-

,
=

×

-

,
=

-

,
=

;
(3)[15.5-(1.5×

+1

×

)]÷14%,
=[15.5-(1.5×

+1.5×

)]÷0.14,
=[15.5-1.5×(

+

)]÷0.14,
=[15.5-1.5×1]÷0.14,
=14÷0.14,
=100;
(4)[1

+2

÷(3

-1.125)]×

-

,
=[1

+2

÷(3

-1

)]×

-

,
=[1

+2

÷

]×

-

,
=[1

+

×

]×

-

,
=[1

+

]×

-

,
=

×

-

,
=

-

,
=

.
分析:(1)把小數(shù)化為分?jǐn)?shù),先算小括號內(nèi)的,再算中括號內(nèi)的乘法,然后算中括號內(nèi)的減法,最后算括號外的乘法;
(2)把所有的分母寫成這樣的形式:143=11×13,77=11×7,91=7×13,被除數(shù)通分,除數(shù)通分,相除

,然后計算即可;
(3)把1

化為小數(shù),小括號內(nèi)運用乘法分配律簡算,然后按運算順序計算;
(4)把小數(shù)化為分?jǐn)?shù),先算小括號內(nèi)的,再算中括號內(nèi)的除法,然后算中括號內(nèi)的加法,再算括號外的乘法,最后算括號外的減法.
點評:脫式計算,注意運算順序和運算法則,根據(jù)題目特點,靈活進(jìn)行數(shù)字轉(zhuǎn)化.