Math, asked by inderjit883singh, 11 months ago

convert following inti p/q 0.1236 bar

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Answered by madhav93930
4

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Answered by abhi569
4

Answer:

1224 / 9900

Step-by-step explanation:

Let 0.12\overline{36} = a

Multiplying both sides by 100 :

= > 100 x a = 100 x 0.12\overline{36}

= > 100a = 12.\overline{36} ... ( 1 )

Multiplying both sides by 100 ( again ) :

= > 100 x 100a = 1236.\overline{36}

= > 10000a = 1236.\overline{36} ... ( 2 )

Subtracting ( 1 ) from ( 2 ) :

10000a = 1236.\overline{36}

- 100a = - 12.\overline{36}

= > 9900a = 1224 { terms under bar has now been cancelled }

= > a = 1224 / 9900

= > a = 1224 / 9900 = 0.1236 bar { from abova }

Hence,

Given irrational number can be written as 1224 / 9900.

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