5/6+11/12+23/24+47/48/+95/96+191/192等于多少 要简便过程 急!

1个回答

  • 5/6+11/12+23/24+47/48/+95/96+191/192

    =(1-1/6)+(1-1/12)+(1-1/24)+(1-1/48)+(1-1/96)+(1-1/192)

    =6X1-(1/6+1/12+1/24+1/48+1/96+1/192)

    =6-(2/12+1/12+1/24+1/48+1/96+1/192)

    =6-(3/12+1/24+1/48+1/96+1/192)

    =6-(6/24+1/24+1/48+1/96+1/192)

    =6-(7/24+1/48+1/96+1/192)

    =6-(14/48+1/48+1/96+1/192)

    =6-(15/48+1/96+1/192)

    =6-(30/96+1/96+1/192)

    =6-(31/96+1/192)

    =6-(62/192+1/192)

    =6-63/192

    =6-21/64

    =5又43/64 (=5.671875)

    =6X1-(1/6+1/12+1/24+1/48+1/96+1/192)可以将括号内的通分