Question

已知1/a+1/b=1 求3a+3b/2ab的值

已知1/a+1/b=1 求3a+3b/2ab的值

Answer 1

解：
∵1/a+1/b=1
去分母可得
ab=a+b
∴3a+3b=3ab
∴(3a+3b)/ab=3
∴(3a+3b)/2ab=3/2

Answer 2

3a+3b/2ab=3/2b+3/2a=(3/2)(1/a+1/b)=3/2。

Answer 3

1、1/a+1/b=1 推出 (a+b)/ab=1
2、3a+3b/2ab=3(a+b)/2ab=3/2{(a+b)/ab}
3、把1式中的代入2式 最后等于 3/2

Answer 4

3a+3b/2ab=3/2 ( 1/a + 1/b)=3/2

Answer 5

3a+3b/2ab=3/2*(a+b/ab)=3/2*(1/a+1/b)=3/2

Answer 6

是（3a+3b)/2ab还是3a+(3b/2ab)