Question

express 0.838383 in the form of p/q where p and q are integers ans q does'nt =0

Answer 1

Answer:

Let x=0.8383...-----(1)

Here, 2 digits are repeating,

So, we multiply x with 100

⇒100×x=100×0.8383....

⇒100x=083.8383...------(2)

(2)-(1),

⇒100x=083.8383...

 (-)   x=000.8383...

⇒99x=083.0000

⇒x=83/99

∴The p/q form of 0.8383... is 83/99.