1/35+1/63+1/99+1/143如何简算?

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1/35+1/63+1/99+1/143如何简算?
1/35+1/63+1/99+1/143
如何简算?

1/35+1/63+1/99+1/143如何简算?
1/35+1/63+1/99+1/143
=1/2(1/5-1/7)+1/2(1/7-1/9)+1/2(1/9-1/11)+1/2(1/11-1/13)
=1/2(1/5-1/7+1/7-1/9+1/9-1/11+1/11-1/13)
=1/2(1/5-1/13)
=4/65