Question

What is the value of `(1/5-1/x)/(5/x-1)`?

Answer 1

`color(lime)(-1/5)`

Explanation:

`(color(red)(1/5-1/x))/(color(blue)(5/x-1))`

`= (color(red)((x-5)/(5x)))/(color(blue)((5-x)/x))`

`= color(red)((x-5)/(5x)) * color(blue)(x/(5-x))`

`= -1/5`