Question

how to express in form p/q?

Answer 1

let x= 0.003232...

There are four digits after decimal.. therefore we will multiply with ten thousandth

10000x= 10000×0.003232...
=>10000x= 32.3232....
=>10000x=32+0.003232...
=>10000x= 32+x
=>10000x - x= 32
=>9999x= 32
=>x= 32/9998
Now divide it, you will get the same decimal number.. Hence proved in p/q form

Answer 2

hey ! here's your answer!
___________________

let x = 0.00323232....

so,

100x = 0.323232....

then,

100x × 100 = 0.323232... × 100

=> 10,000x = 32.3232...

now,

10,000x - 100x = 32.3232... - 0.323232...

=> 9900x = 32

=> x = $\frac{32}{9900}$

it can be simplified more :-

=> x = $\frac{8}{2475}$ ...answer!

thus, 0.00323232... in p/q form = $\frac{8}{2475}$

hope it is helpful ✌️!