简便运算1/1*3+1/3*5+1/5*7+1/7*9怎么算?

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简便运算1/1*3+1/3*5+1/5*7+1/7*9怎么算?简便运算1/1*3+1/3*5+1/5*7+1/7*9怎么算?简便运算1/1*3+1/3*5+1/5*7+1/7*9怎么算?1/1*3+1

简便运算1/1*3+1/3*5+1/5*7+1/7*9怎么算?
简便运算1/1*3+1/3*5+1/5*7+1/7*9怎么算?

简便运算1/1*3+1/3*5+1/5*7+1/7*9怎么算?
1/1*3+1/3*5+1/5*7+1/7*9 =1/2*(1-1/3+1/3-1/5+1/5-1/7+1/7-1/9) =1/2*(1-1/9) =1/2*8/9 =4/9