`(5^-1 + x^-1)/((5+x)*5^-1)`
We can `1/5+1/x/(5+x)*1/x`
Multiplying the top and bottom by the lcd which is 5x:
Cancelling common factors.
Addition is Cummutative, so we can rewrite the bottom as 5(x + 5).
We can cancel the (x + 5) on top and bottom.
So, we will be left with 1/5, which is the answer.
I am sorry, I missed the bottom part, its 5^-1.
So, bottom will becomes x(5+x).
And cancelling the (x + 5), the answer will be 1/x.