数列计算 1/2+1/3+1/4+1/5+1/6+1/7+1/8+1/9=?

2,3,4,5,6,7,8,9的最小公倍数是：8*5*7*9=2520,
所以 1/2=1260/2520
1/3=840/2520
1/4=630/2520
1/5=504/2520
1/6=420/2520
1/7=360/2520
1/8=315/2520
1/9=280/2520
1260+840+630+504+420+360+315+280=4609
所以1/2+1/3+1/4+1/5+1/6+1/7+1/8+1/9=4609/2520