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计算,怎样简便怎样算.1+1/2-5/6+7/12-9/20+11/30-13/42=
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计算,怎样简便怎样算.
1+1/2-5/6+7/12-9/20+11/30-13/42
=
1+1/2-5/6+7/12-9/20+11/30-13/42
=
▼优质解答
答案和解析
1+1/2-5/6+7/12-9/20+11/30-13/42
=1+1/2-(1/2+1/3)+(1/3+1/4)-(1/4+1/5)+(1/5+1/6)-(1/6+1/7)
=1+1/2-1/2-1/3+1/3+1/4-1/4-1/5+1/5+1/6-1/6-1/7
=1-1/7
=6/7
=1+1/2-(1/2+1/3)+(1/3+1/4)-(1/4+1/5)+(1/5+1/6)-(1/6+1/7)
=1+1/2-1/2-1/3+1/3+1/4-1/4-1/5+1/5+1/6-1/6-1/7
=1-1/7
=6/7
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