计算：（1）（78.6-0.786×25+75%×21.4）÷15×2001（2）1.65÷（14+0.8）-（0.5+13）×2435（3）（2514×23-62.5%）÷[（1312+6.375）÷111415]（4）2-（716×223+17）×11011÷（1213-3.75÷514）

Question

计算：
（1）（78.6-0.786×25+75%×21.4）÷15×2001
（2）1.65÷（(1)/(4)+0.8）-（0.5+(1)/(3)）×(24)/(35)
（3）（2(5)/(14)×(2)/(3)-62.5%）÷[（(13)/(12)+6.375）÷11(14)/(15)]
（4）2-（(7)/(16)×2(2)/(3)+(1)/(7)）×1(10)/(11)÷（12(1)/(3)-3.75÷(5)/(14)）

Answer 1

（1）（78.6-0.786×25+75%×21.4）÷15×2001
=（0.786×100-0.786×25+0.75×21.4）÷15×2001
=[0.786×（100-25）+75×0.214]÷15×2001
=[0.786×75+75×0.214]÷15×2001
=（0.786+0.214）×75÷15×2001
=1×75÷15×2001
=5×2001
=10005；
（2）1.65÷（(1)/(4)+0.8）-（0.5+(1)/(3)）×(24)/(35)
=(33)/(20)÷（(1)/(4)+(4)/(5)）-（(1)/(2)+(1)/(3)）×(24)/(35)
=(33)/(20)÷(21)/(20)-(5)/(6)×(24)/(35)
=(11)/(7)-(4)/(7)
=1；
（3））（2(5)/(14)×(2)/(3)-62.5%）÷[（(13)/(12)+6.375）÷11(14)/(15)]
=（(33)/(14)×(2)/(3)−(5)/(8)）÷[（(13)/(12)+(51)/(8)）÷(179)/(15)]
=（(11)/(7)-(5)/(8)）÷[(179)/(24)÷(179)/(15)]
=(53)/(56)÷(5)/(8)
=(53)/(35)
（4）2-（(7)/(16)×2(2)/(3)+(1)/(7)）×1(10)/(11)÷（12(1)/(3)-3.75÷(5)/(14)）
=2-（(7)/(6)+(1)/(7)）×(21)/(11)÷（(37)/(3)-(21)/(2)）
=2-(55)/(42)×(21)/(11)÷(11)/(6)
=2-(5)/(2)÷(11)/(6)
=2-(15)/(11)
=(7)/(11)．