1/2+1/4+1/8+1/10+1/32+1/64把过程写下来

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1/2+1/4+1/8+1/10+1/32+1/64把过程写下来1/2+1/4+1/8+1/10+1/32+1/64把过程写下来1/2+1/4+1/8+1/10+1/32+1/64把过程写下来=(1/

1/2+1/4+1/8+1/10+1/32+1/64把过程写下来
1/2+1/4+1/8+1/10+1/32+1/64
把过程写下来

1/2+1/4+1/8+1/10+1/32+1/64把过程写下来
=(1/2+1/4)+(1/8+1/10)+(1/32+1/64)
=(2/4+1/4)+(5/40+4/40)+(2/64+1/64)
=(3/4+9/40)+3/64
=39/40+3/64
=312/320+15/320
=327/320
=1/7/320

1/2+1/4+1/8+1/10+1/32+1/64
=160/320+80/320+40/320+32/320+10/320+5/320
=327/320
=1/7/320(一又七份之三百二十)

通分

1/2+1/4+1/8+1/16+1/32+1/64
=1/2+1/4+1/8+1/16+1/32+1/64+1/64-1/64
=1/2+1/4+1/8+1/16+1/32+1/32-1/64
=1/2+1/4+1/8+1/16+1/16-1/64
=1/2+1/4+1/8+1/8-1/64
=1/2+1/4+1/4-1/64
=1/2+1/2-1/64
=1-1/64
=63/64

原式+1/64=1
原式=1-1/64=63/64

=0.5+0.25+0.125+0.03125+0.015625=0.921875

是不是打错一个……

是1/10还是1/16 1/16是31/32 1/10是327/320

1-1/64=63/64

1/2 等于32/64,
1/4 等于16/64
1/8 等于 8/64
1/16等于 4/64
1/32等于 2/64
还有 1/64 相加等于 63/64

1/2+1/4+1/8+1/10+1/32+1/64
=32/64+26/64+8/64+1/10+2/64+1/64
=69/64+1/10
=690/640+64/640
=754/640
=1 114/640

楼主打错了吧要!是1/10 估计只能通分了,要是1/16那不就是一个公比1/2的等比数列吗,等比数列求和公式。。你应该知道吧