
1又1/2-5/8+7/12-9/20+11/30-13/42+15/56?
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2020-02-07 · 知道合伙人教育行家
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5/8应为5/6
1又1/2-5/6+7/12-9/20+11/30-13/42+15/56
= (1+1/2)-(1/2+1/3)+(1/3+1/4)-(1/4+1/5)+(1/5+1/6)-(1/6+1/7)+(1/7+1/8)
= 1+1/2-1/2-1/3+1/3+1/4-1/4-1/5+1/5+1/6-1/6-1/7+1/7+1/8
= 1+1/8
= 1又1/8
1又1/2-5/6+7/12-9/20+11/30-13/42+15/56
= (1+1/2)-(1/2+1/3)+(1/3+1/4)-(1/4+1/5)+(1/5+1/6)-(1/6+1/7)+(1/7+1/8)
= 1+1/2-1/2-1/3+1/3+1/4-1/4-1/5+1/5+1/6-1/6-1/7+1/7+1/8
= 1+1/8
= 1又1/8
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1又1/2-5/8+7/12-9/20+11/30-13/42+15/56
=1又1/2-(1/2+1/4)+(1/3+1/4)-(1/4+1/5)+(1/5+1/6)-(1/6+1/7)+(1/7+1/8)
=1又1/2-1/2-1/4+1/3+1/4-1/4-1/5+1/5+1/6-1/6-1/7+1/7+1/8
=1-1/4+1/3+1/8
=1+1/3-1/8
=1又5/24
=1又1/2-(1/2+1/4)+(1/3+1/4)-(1/4+1/5)+(1/5+1/6)-(1/6+1/7)+(1/7+1/8)
=1又1/2-1/2-1/4+1/3+1/4-1/4-1/5+1/5+1/6-1/6-1/7+1/7+1/8
=1-1/4+1/3+1/8
=1+1/3-1/8
=1又5/24
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