如2/1*3=1-1/3,2/3*5=1/3-1/5,2/5*7=1/5-1/7...算1/1*3+1/3*5+1/5*7+L+1/2005*2007的值要过程,

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如2/1*3=1-1/3,2/3*5=1/3-1/5,2/5*7=1/5-1/7...算1/1*3+1/3*5+1/5*7+L+1/2005*2007的值要过程,

如2/1*3=1-1/3,2/3*5=1/3-1/5,2/5*7=1/5-1/7...算1/1*3+1/3*5+1/5*7+L+1/2005*2007的值要过程,
如2/1*3=1-1/3,2/3*5=1/3-1/5,2/5*7=1/5-1/7...算1/1*3+1/3*5+1/5*7+L+1/2005*2007的值要过程,

如2/1*3=1-1/3,2/3*5=1/3-1/5,2/5*7=1/5-1/7...算1/1*3+1/3*5+1/5*7+L+1/2005*2007的值要过程,
1/1*3+1/3*5+1/5*7+L+1/2005*2007 =2(1/1*3+1/3*5+1/5*7+L+1/2005*2007)/2 =(2/1*3+2/3*5……2/2005*2007)/2 =1003/2007

1/1*3+1/3*5+1/5*7+L+1/2005*2007=1/2(2/1*3+2/3*5+1/5*7+L+2/2005*2007)=1/2(1-1/3+1/3-1/5+1/5-1/7+......1/2005-1/2007)=1/2(1-1/2007)=1/2(2006/2007)=1003/2007