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in Number System by (41.5k points)
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When the repeating decimal 0.363636 …. is written in simplest fractional form p/q , find the sum p+ q.

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x = 0.363636…………….. (1) 

Here periodicity is ‘2’. So, equation (1) should be multiplied both sides with 100. 

⇒ 100 × x = 100 × 0.363636 

100 x = 36.3636 ………..(2)

(2) - (1) 

   

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