计算:1/3*5+1/5*7+1/7*9+1/9*11+1/11*13
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1/3*5+1/5*7+1/7*9+1/9*11+1/11*13

=1/2×﹙1/3-1/5+1/5-1/7+1/7-1/9+1/9-1/11+1/11-1/13﹚

=1/2×﹙1/3-1/13﹚

=1/2×10/39

=5/39.

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