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Express the following decimal in the form `p/q`: `0.bar37`

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#### Solution

Let `x=0.bar37`

⇒ x = 0.373737...

⇒ 100x = 37.3737...

⇒ 100x = 37 + 0.3737...

⇒ 100x = 37 + x

⇒ 100x - x = 37

⇒ 99x = 37

⇒ x = 37/99

Hence, `0.bar37=37/99`

Concept: Introduction of Real Number

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