Question

Express 0.1 23 bar in p by Q form

Answer 1

SOLUTION :

Let x be 0.123232323........     (i)

Multiplying 10 both the sides we get,

10x = 1.23232323......    (ii)

Multiplying 100 both the sides of Eq.(ii) we get,

1000x = 123.23232323.....    (iii)

Now,

Subtracting Eq.(ii) from Eq.(iii) we get,

  1000x = 123.232323...

-       10x =     1.232323....

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   990x = 122

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So,

⇒ 990x = 122

⇒ x = $\frac{ \bf 122 }{ \bf 990 }$

∴ 0.123 (baron 23) =  $\frac{ \bf 122 }{ \bf 990 }$

Answer 2

$<b>$Here is the answer to your question.
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Let x be 0.123232323........     (i)


Multiplying 10 both the sides we get,


10x = 1.23232323......    (ii)


Multiplying 100 both the sides of Eq.(ii) we get,


1000x = 123.23232323.....    (iii)



Now,


Subtracting Eq.(ii) from Eq.(iii) we get,


  1000x = 123.232323...

-       10x =     1.232323....

___________________

   990x = 122

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So,

=> 990x = 122

=> x = 122/990

Hence,

0.123 (baron 23) =  122/990

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Hope it helped!!!