一道简便运算的数学题1/3+1/9+1/35+1/63+1/99

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一道简便运算的数学题1/3+1/9+1/35+1/63+1/99
一道简便运算的数学题
1/3+1/9+1/35+1/63+1/99

一道简便运算的数学题1/3+1/9+1/35+1/63+1/99
1/3+1/9+1/35+1/63+1/99
=1/3+1/9+1/(5*7)+1/(7*9)+1/(9*11)
=4/9+1/2*[1/5-1/7+1/7-1/9+1/9-1/11]
=4/9+3/55
=247/495

247/495

要简便过程吗?

=1/3+1/9+1/(5*7)+1/(7*9)+1/(9*11)
=4/9+1/2*[1/5-1/7+1/7-1/9+1/9-1/11]
=4/9+3/55
=247/495
我只能做成这样了~~~

有病

1/3+1/9+1/35+1/63+1/99
=1/3+1/9+1/(5*7)+1/(7*9)+1/(9*11)
=4/9+1/2*[1/5-1/7+1/7-1/9+1/9-1/11]
=4/9+3/55
=247/495 或
=1/3+1/9+1/(5*7)+1/(7*9)+1/(9*11)
=4/9+1/2*[1/5-1/7+1/7-1/9+1/9-1/11]
=4/9+3/55
=247/495
我只能做成这样了~~~