Question

1/2+3/4+7/8+15/16+31/32+63/64

Answer 1

1/2+3/4+7/8+15/16+31/32+63/64

=（1-1/2)+(1-1/4)+(1-1/8)+(1-1/16)+(1-1/32)+(1-1/64)

=6-(1/2+1/4+1/8+1/16+1/32+1/64)

=6-(1/2+1/4+1/8+1/16+1/32+1/64+1/64)+1/64

=6-(1/2+1/4+1/8+1/16+1/32+1/32)+1/64

=6-(1/2+1/4+1/8+1/16+1/16)+1/64

=6-(1/2+1/4+1/8+1/8)+1/64

=6-(1/2+1/4+1/4)+1/64

=6-(1/2+1/2)+1/64=

Answer 2

这是分数连加计算

而且这些分数都是异分母分数

关键的步骤是要通分化成同分母分数。

然后再把这些分数加起来。

Answer 3

具体的计算过程如下：
1/2+3/4+7/8+15/16+31/32+63/64
=1/2+3/4+7/8+31/32+15/16+63/64
=32/64+48/64+56/64+62/64+60/64+63/64
=321/64

Answer 4

32/64+48/64+56/64+60/64+62/64+63/64＝80/64+116/64+125/64＝321/64