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  • 5+(1/2-5/6+1/12-19/20+1/30-41/42+1/56-71/72+1/90)

    5+(1/2-5/6+1/12-19/20+1/30-41/42+1/56-71/72+1/90)
    數(shù)學(xué)人氣:709 ℃時(shí)間:2020-03-30 05:36:21
    優(yōu)質(zhì)解答
    1.原式=1-2+3-4+5-6+7-8+9+1/2-5/6+1/12-19/20+1/30-41/42+1/56-71/72+1/90
    =5+1/2-5/6+1/12-19/20+1/30-41/42+1/56-71/72+1/90
    =1+1/2+1/6+1/12+1/20+1/30+1/42+1/56+1/72+1/90
    =1+1-1/2+1/2-1/3+1/3-1/4+……+1/9-1/10
    =2-1/10
    =1又9/10
    2.原式=(104/99+104/33+104/11)÷(100/99+100/33+100/11)
    =[104*(1/99+1/33+1/11)]÷[100*(1/99+1/33+1/11)]
    =104÷100
    =26/25
    打字不易,
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