Question

express: 2.0151515...... in the form p/q where p and q are integers and q≠0

Answer 1

Let x =  2.0151515...

1000x = 2015.151515...
Then 10x = 20.151515...

Subtracting
1000x = 2015.151515...
-10x = 20.151515...
____________________
990x = 1995

x= 1995 / 990

 ANS. = 133 / 66

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Answer 2

Let x =  2.0151515...

1000x = 2015.151515...
Then 10x = 20.151515...

Subtracting
1000x = 2015.151515...
-10x = 20.151515...
____________________
990x = 1995

x= 1995 / 990
   =133 / 66 

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