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1\3+1\5+1\7+1\9+1\11+1\33+1\35+1\45+1\55+1\77
=(1/3+1/11+1/33)+(1/5+1/7+1/35)+(1/9+1/45)+1/55+1/77
=15/33+13/35+6/45+1/55+1/77
=(5/11+1/77)+(13/35+2/15)+1/55
=36/77+53/105+1/55
=187/385+53/105
=1144/1155
=(1/3+1/11+1/33)+(1/5+1/7+1/35)+(1/9+1/45)+1/55+1/77
=15/33+13/35+6/45+1/55+1/77
=(5/11+1/77)+(13/35+2/15)+1/55
=36/77+53/105+1/55
=187/385+53/105
=1144/1155
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