简便计算(1)2/3+2/3×5+2/5×7+2/7×9+2/9×11+2/11×13

2024-12-31 22:19:32
推荐回答(2个)
回答1:

2/3=2/1×3=(1-1/3)
2/(3×5)=(1/3-1/5)
……
2/11×13=1/11-1/13
所以2/3+2/3×5+2/5×7+2/7×9+2/9×11+2/11×13
=1-1/3+1/3-1/5+……+1/11-1/13
=1-1/13
=12/13

回答2:

2/3+2/3×5+2/5×7+2/7×9+2/9×11+2/11×13
=1-1/3+1/3-1/5+1/5-1/7+1/7-1/9+1/9-1/11+1/11-1/13
=1-1/13
=12/13