(1)(78.6-0.786×25+75%×21.4)÷15×2001
(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)
计算:(1)(78.6-0.786×25+75%×21.4)÷15×2001(先做括号里的乘法)
=(78.6-19.65+16.05)÷15×2001(再做括号里的加减法)
=75÷15×2001(再做除法)
=5×2001(再做乘法)
=10005
(2)1.65÷(1/4+0.8)-(0.5+1\3)×(24/35)(小数变分数并约分)
=(33/20)÷(1/4+4/5)-(1/2+1\3)×(24/35)(括号里的通分相加)
=(33/20)÷(21/20)-(5/6)×(24/35)(除法变乘法、乘法相乘)
=(33/20)×(20/21)-(4/7)(乘法相乘)
=(33/21)-(4/7)(通分相减)
=21/21
=1
(3)[2(5/14)×(2/3)-62.5%]÷[(13/12+6.375)÷11(14/15)](去括号小数变分数并约分、括号内乘法)
=[(10/21)-(5/8)]÷[(13/12+51/8)÷11(14/15)](括号里的通分相加减)
=[(-25/168)]÷[(179/24)÷11(14/15)](除法变乘法)
=[(-25/168)]×[(24/179)×(1/11)(14/15)](相乘积)
=-10/5907
(4)2-{[(7/16)×2(2/3)+1/7]×1(10/11)}÷[12(1/3)-3.75÷(5/14)]
=2-{[7/12+1/7]×(10/11)}÷[(12/3)-375/100×(14/5)]
=2-{(61/84)×(10/11)}÷[(12/3)-21/2]
=2-(305/462)÷(-13/2)
=2-(305/462)×(-2/13)
=2+305/693
=2右305/693