二分之一+三分之二+四分之三+五分之四+六分之五(简便计算)
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二分之一+三分之二+四分之三+五分之四+六分之五
=1/2+2/3+3/4+4/5+5/6
=(1-1+1/2)+(1-1+2/3+(1-1+3/4)+(1-1+4/5)+(1-1+5/6)
=(1-1/2)+(1-1/3+(1-1/4)+(1-1/5)+(1-1/6)
=5-(1/2+1/3+1/4+1/5+1/6) 其中 1/6=1/2-1/3
=5-(1/2+1/3+1/4+1/5+1/2-1/3)
=5-(1+1/4+1/5)
=4-9/20
=3又11/20
=1/2+2/3+3/4+4/5+5/6
=(1-1+1/2)+(1-1+2/3+(1-1+3/4)+(1-1+4/5)+(1-1+5/6)
=(1-1/2)+(1-1/3+(1-1/4)+(1-1/5)+(1-1/6)
=5-(1/2+1/3+1/4+1/5+1/6) 其中 1/6=1/2-1/3
=5-(1/2+1/3+1/4+1/5+1/2-1/3)
=5-(1+1/4+1/5)
=4-9/20
=3又11/20
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