问题标题：
【1×1/3+1/3×1/5+1/5×1/7+……+1/99×1/101】
问题描述：
1×1/3+1/3×1/5+1/5×1/7+……+1/99×1/101
黄晓回答：
1×1/3+1/3×1/5+1/5×1/7+……+1/99×1/101
=(1/2)[1-(1/3)+(1/3)-(1/5)+(1/5)-(1/7)+……+(1/99)-(1/101)]
=(1/2)[1-(1/101)]
=50/101
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