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一道数学题!用简便算法!要有步奏!(1/2-1/3)+(1/4-1/5)+(1/7-1/10)+(1/14-1/15)+(1/28-1/30)
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一道数学题!用简便算法!要有步奏!
(1/2-1/3)+(1/4-1/5)+(1/7-1/10)+(1/14-1/15)+(1/28-1/30)
(1/2-1/3)+(1/4-1/5)+(1/7-1/10)+(1/14-1/15)+(1/28-1/30)
▼优质解答
答案和解析
(1/2-1/3)+(1/4-1/5)+(1/7-1/10)+(1/14-1/15)+(1/28-1/30)
=1/2+1/4++1/7+1/14+1/28-1/3-1/5-1/10-1/15-1/30
=(14+7+4+2+1)/28-(10+6+3+2+1)/30
=1-22/30
=4/15
=1/2+1/4++1/7+1/14+1/28-1/3-1/5-1/10-1/15-1/30
=(14+7+4+2+1)/28-(10+6+3+2+1)/30
=1-22/30
=4/15
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