一道分数数学题，急急急！！在线等候！！

需要把每一项写出来。观察一下就会发现可以约分
(1+1/2)*(1-1/2)*(1+1/3)*(1-1/3)┉┉*(1+1/100)(1-1/100)
=3/2×1/2×4/3×2/3……101/100×99/100
=1/2×3/2×2/3×4/3……99/100×101/100
=1/2×101/100
=101/200

(3/2)*(1/2)*(4/3)*(2/3)*(5/4)*(3/4)...(101/100)*(99/100)你把式子全部列下来，然后可以约分，最后剩下101/2

(1+1/2)*(1-1/2)*(1+1/3)*(1-1/3)┉┉*(1+1/100)(1-1/100)=
3/2*1/2*4/3*2/3*5/4*3/4*6/5*4/5*....*100/99*98/99*101/100*99/100
=1/2*101/100=101/200