Question

convert it in p/q form

Answer 1

Let x = 2.01212....
Multiply no by 10
10x = 20.1212... ( equation 1 )
Multiply no by 100
10x* 100 = 2012.1212... ( equation 2 )
Now equation 2 - equation 1
1000x - 10x = 2012.1212... - 20.1212...
980x = 1992
x = 1992/ 980 = 498/245

Answer 2

Heya dear user !!!

Here is your answer,

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Q. Convert 2.012 (bar on 12) in p/q form.

Solution :

Let,

10x = 20.121212.......... (i)

1000x = 2012.121212........ (ii)

(ii) - (i) = 2012.121212... - 20.121212...

1000x - 10x = 1992

990x = 1992

x = 1992/990

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Hope it helps.