简算4/5*7+4/7*9+4/9*11+.+4/53*55=?

问题描述:

简算4/5*7+4/7*9+4/9*11+.+4/53*55=?

4/5*7+4/7*9+4/9*11+....+4/53*55
=2(1/5-1/7+1/7-1/9+……+1/53-1/55)
=2(1/5-1/55)
=4/11

4/5*7+4/7*9+4/9*11+.+4/53*55
=2(1/5-1/7+1/7-1/9+……+1/53-1/55)
=2(1/5-1/55)
=4/11