Respuesta :

zexius

If you mean p/q, then this is how you do it:

[tex] \textrm{Let x represent the recurring decimal.}

x = 8.54545...

100x = 854.54545...

\textrm{Subtract first expression from second expression.}

100x - x = 99x

854.54545... - 8.54545... = 846

\therefore 99x = 846

\textrm{Isolate x term by dividing by 99 on both sides of the expression.}

x = 846\div99 [/tex]

[tex] x = \frac{846}{99} = \frac{94}{11} [/tex]

Therefore your final answer is 94/11, where p is 94 and q is 11.