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Express 0.23 (bar) in the form of p/q

User David Arno
by
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1 Answer

4 votes

Answer:


0.\overline{23}= (23)/(99)

Explanation:

Let
x = 0.\overline{23}....(1)

Multiply both sides by 100.


100x = 23.\overline{23}....(2)

Subtracting equation (1) from equation (2)


100x -x= 23.\overline{23}-0.\overline{23}


\implies 99x= 23


\implies x= (23)/(99)


\implies\huge{\orange{ 0.\overline{23}= (23)/(99)}}

User Khurshed
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