如题所述
1/2+3/4+7/8+15/16+31/32+63/64=5又1/64。
简便计算过程如下:
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+...+1/64)
= 6-63/64
=5又1/64
扩展资料:
分数的加减法:
1、同分母分数加法。同分母分数相加,分子相加,分母不变,能约分的要约分。
2、同分母分数减法。同分母分数相减,分子相减,分母不变,能约分的要约分。
3、异分母分数加法。异分母分数相加,先通分,再按照同分母分数加法的法则进行计算。
4、异分母分数减法。异分母分数相减,先通分,再按照同分母分数减法的法则进行计算。
减法的性质
1、一个数连续减去几个数,等于从这个数中减去这几个数的和。
a-b-c-d=a-(b+c+d)。
2、一个数减去几个数的和,等于从这个数中连续减去这几个数。
a-(b+c+d)=a-b-c-d。
3、加、减混合运算去括号的性质,注意去括号时加减符号的变化。
a+(b-c)=a+b-c;a-(b+c)=a-b-c;a-(b-c)=a-b+c。
温馨提示:答案为网友推荐,仅供参考
第1个回答 2012-04-05
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
=5又1/64本回答被提问者采纳
=(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
=5又1/64本回答被提问者采纳
第2个回答 2020-04-06
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
=5又1/64
=(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
=5又1/64
第3个回答 2012-04-05
每项与1作减法就是一个等比数列,后面你懂的
第4个回答 2012-04-05
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
=6-1/2-1/4-1/8-1/16-1/32-1/64-1/64+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+1/64
=5又1/64
=1-1/2+1-1/4+1-1/8+1-1/16+1-1/32+1-1/64
=6-1/2-1/4-1/8-1/16-1/32-1/64-1/64+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+1/64
=5又1/64