6/1X7—6/7X13—6/13X19—6/19X25—……6/97X103=522/721怎么解的?想知道这道题的详细解法.还有分母是1乘7,不是未知数x.

Question

6/1X7—6/7X13—6/13X19—6/19X25—……6/97X103=522/721怎么解的?
想知道这道题的详细解法.还有分母是1乘7,不是未知数x.

Answer 1

6/1X7—6/7X13—6/13X19—6/19X25—……6/97X103
=1-1/7-(1/7-1/13)-(1/13-1/19)-.-(1/97-1/103)
=1-1/7-1/7+1/13-1/13+1/19-.-1/97+1/103
=1-2/7+1/103
=522/721