1/2+3/4+7/8+15/16简算

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1/2+3/4+7/8+15/16简算

1/2+3/4+7/8+15/16简算
1/2+3/4+7/8+15/16简算

1/2+3/4+7/8+15/16简算
1/2+3/4+7/8+15/16
=1-1/2+1-1/4+1-1/8+1-1/16
=4-(1/2+1/4+1/8+1/16)
=4-(1-1/16)
=3又1/16

8/16+12/16+14/16+15/16=49/16

1/2+3/4+7/8+15/16
=(1-1/2)+(1-1/4)+(1-1/8)+(1-1/16)
=1*4-(1/2+1/4+1/8+1/16)
=4-(1/2+1/4+1/8+1/16+1/16)+1/16
=4-(1/2+1/4+1/8+1/8)+1/16
=4-(1/2+1/4+1/4)+1/16
=4-(1/2+1/2)+1/16
=4-1+1/16
=3+1/16