(1+1/8+1/9+1/10)×(1/8+1/9+1/10+1/11)—(1+1/8+1/9+1
(1+1/8+1/9+1/10)×(1/8+1/9+1/10+1/11)—(1+1/8+1/9+1/10+1/11)×(1/8+1/9+1/10)...
(1+1/8+1/9+1/10)×(1/8+1/9+1/10+1/11)—(1+1/8+1/9+1/10+1/11)×(1/8+1/9+1/10)
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原式=[1+(1/8+1/9+1/10)]×(1/8+1/9+1/10+1/11)—[1+(1/8+1/9+1/10+1/11)]×(1/8+1/9+1/10)
=(1/8+1/9+1/10+1/11)+(1/8+1/9+1/10)×(1/8+1/9+1/10+1/11)—(1/8+1/9+1/10)-(1/8+1/9+1/10+1/11)×(1/8+1/9+1/10)
=(1/8+1/9+1/10+1/11)-(1/8+1/9+1/10)
=1/11
=(1/8+1/9+1/10+1/11)+(1/8+1/9+1/10)×(1/8+1/9+1/10+1/11)—(1/8+1/9+1/10)-(1/8+1/9+1/10+1/11)×(1/8+1/9+1/10)
=(1/8+1/9+1/10+1/11)-(1/8+1/9+1/10)
=1/11
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