Question

p/q Form of 0.232323..........

Answer 1

let.
x=0.23232323... →(1)

Multiplying both side by 100.

100x=23.23232323.... →(2)

Substracting (1) from (2)...

→100x-x=23.232323... - 0.23232323...
→99x=23
→x=23/99

So 23/99 is your answer...

Hope it helps...
Regards,
Leukonov...

Answer 2

Given: 0.2323....

Let x be 0.232323...

$x=0.23232...$     ............(1)

Multiply 100 on both sides,

$100x=100\times 0.2323...\\100x=23.2323$..................(2)

Subtracting (1) from (2),

$100x-x=23.232323.....-0.232323.....$

$99x=23$

$x=\frac{23}{99}$

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