Need help symplifying algebraic fraction!?

Question

heres the prob:

( (1/x)-(1/5) ) / ( (1/x^2) - (1/25) )

Answer 1

first goes to (1/0.5)-(1/.2) multiply first by 2 and second by 5

(2/1)-(5/10)=-3/0

i think . . . x's should cancel out

Answer 2

((1/x)-(1/5) ) / ( (1/x^2) - (1/25))

= (5/5x - x/5x) / ( 25/25x^2 - x^2/25x^2)

= (5-x)/(5x) / (25-x^2)/(25x^2)

= (5-x) / (5-x)(5+x)/(5x)

= 5x / (5+x)

(9-x^-2) / (3+x^-1)

= (9 - 1/x^2) / (3 + 1/x)

= (9x^2 -1) / x^2 / (3x+1)/x

= (9x^2 -1) / x / (3x+1)

= (3x-1)(3x+1) / x / (3x+1)

= (3x-1) / x