Question

Represent 1.129129129...... as a fraction

Answer 1

Given :  1.129129129.........  $1.\overline{129}$  

To find : Represent as Fraction

Solution:

Let say

N  = 1.129129129.........

=> N =  $1.\overline{129}$

multiplying by 1000

=> 1000N  = 1129.129129129......

=> 1000N = $1129.\overline{129}$

1000N - N  = $1129.\overline{129}$  -  $1.\overline{129}$

=> 999N = 1128

=> 333N =  376

=> N = 376/333

$1.\overline{129}$  =  1.129129129.........  = 376/333

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