可化为
(1/2)*(2/3)*(3/4)*........*(99/100)=1/100
原式=1/2÷3/2÷4/3÷5/4÷……÷97/96÷98/97÷99/98÷100/99
=1/2×2/3×3/4×4/5×……×96/97×97/98×98/99×99/100
=1/100
这个题目很经典
所有带分用假分表示
原式
=1/2÷3/2÷4/3÷5/4÷……÷97/96÷98/97÷99/98÷100/99
=1/2×2/3×3/4×4/5×……×96/97×97/98×98/99×99/100
=1/100
原式
=1/2÷3/2÷4/3÷5/4÷……÷97/96÷98/97÷99/98÷100/99
=1/2×2/3×3/4×4/5×……×96/97×97/98×98/99×99/100
=1/100
可以约分