1/3+1/15+1/35+-----1/399+1/483=
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![1/3+1/15+1/35+-----1/399+1/483=](/uploads/image/z/542411-35-1.jpg?t=1%2F3%2B1%2F15%2B1%2F35%2B-----1%2F399%2B1%2F483%3D)
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1/3+1/15+1/35+-----1/399+1/483=
1/3+1/15+1/35+-----1/399+1/483=
1/3+1/15+1/35+-----1/399+1/483=
1/3=1/2-1/6,
1/15=1/(3*5)=(1/2)(1/3-1/5)=1/6-1/10,
……
1/399=1/(19*21)=1/38-1/42,
1/483=1/(21*23)=1/42-1/46.
1/3+1/15+1/35+-----1/399+1/483=1/2-1/46=22/46=11/23.