1⼀2×3+1⼀3×4+1⼀4×5+1⼀5×6 怎么计算 可以简便计算么? 各位大虾帮忙啊

2025-04-04 23:22:03
推荐回答(3个)
回答1:

1/2*3+1/3*4+1/4*5+1/5*6
=(1/2-1/3)+(1/3-1/4)+(1/4-1/5)+1/5-1/6
=1/2-1/6
=1/3

回答2:

1/(2×3)+1/(3×4)+1/(4×5)+1/(5×6)
=1/2-1/3+1/3-1/4+1/4-1/5+1/5-1/6
=1/2-1/6
=1/3

回答3:

=1/2-1/3+1/3-1/4+1/4-1/5+1/5-1/6
=1/2-1/6
=1/3